{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4ffb25ca-551c-41a6-ac51-155c2aee0bbb",
   "metadata": {},
   "source": [
    "# TDOA positioning example using generalized cross correlations\n",
    "\n",
    "This example shows how to load a speech signal and simulate sound wave propagation in a virtual room using pyroomacoustics. By creating a room with several microphones, we can then used GCC-PHAT or a pre-trained NGCC-PHAT model to estimate the TDOAs between microphone pairs. The TDOA measurements can then be used to position the sound source. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7cae266b-7b4b-4418-9496-b0736d72e9ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "from scipy.io import wavfile\n",
    "from IPython.display import Audio\n",
    "import matplotlib.pyplot as plt\n",
    "import pyroomacoustics as pra\n",
    "import random\n",
    "from model import GCC, NGCCPHAT\n",
    "from scipy.optimize import minimize\n",
    "\n",
    "# for reproducibility\n",
    "torch.manual_seed(42)\n",
    "random.seed(42)\n",
    "np.random.seed(42)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9d44182-b8c8-41c3-b3cb-fcceba059198",
   "metadata": {},
   "source": [
    "### Load the sample speech signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "df9786af-62aa-4157-9cd3-1977edf3e588",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\" type=\"audio/x-wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "filename = \"speech.wav\"\n",
    "fs, signal = wavfile.read(filename)\n",
    "signal = np.array(signal)\n",
    "\n",
    "plt.plot(signal)\n",
    "                          \n",
    "# listen to the speech signal\n",
    "Audio(filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "734ac4f2-321e-45a6-af29-9929ba616ded",
   "metadata": {},
   "source": [
    "### Create a virtual room with 3 microphones and a single sound source"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "83d21aca-ca6f-4dd7-b41f-b1eaba75d330",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/axel/anaconda3/envs/py37/lib/python3.7/site-packages/pyroomacoustics/room.py:1525: MatplotlibDeprecationWarning: Axes3D(fig) adding itself to the figure is deprecated since 3.4. Pass the keyword argument auto_add_to_figure=False and use fig.add_axes(ax) to suppress this warning. The default value of auto_add_to_figure will change to False in mpl3.5 and True values will no longer work in 3.6.  This is consistent with other Axes classes.\n",
      "  ax = a3.Axes3D(fig)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The true TDOAs are [14.904648298093212, 12.919446671572926, -1.9852016265202852]\n"
     ]
    }
   ],
   "source": [
    "# Test room parameters\n",
    "room_dim= [3.0, 2.5, 2.5]\n",
    "t60 = 0.6 #seconds\n",
    "snr = 10 # dB\n",
    "\n",
    "# Microphone locations\n",
    "mic_locs = np.array([[1.25, 1.0, 1.25], [0.80, 0.90, 1.25], [1.0, 1.25, 1.25]]).T\n",
    "\n",
    "# Sound source position at the same hight\n",
    "source_loc = np.array([0.60, 1.20, 1.25])\n",
    "\n",
    "# Create the virtual room\n",
    "e_absorption, max_order = pra.inverse_sabine(t60, room_dim)\n",
    "\n",
    "room = pra.ShoeBox(room_dim, fs=fs, materials=pra.Material(\n",
    "    e_absorption), max_order=max_order)\n",
    "\n",
    "c = room.c #speed of sound\n",
    "\n",
    "room.add_source(source_loc, signal=signal)\n",
    "room.add_microphone(mic_locs)\n",
    "\n",
    "fig, ax = room.plot()\n",
    "ax.set_xlim([0, room_dim[0]])\n",
    "ax.set_ylim([0, room_dim[1]])\n",
    "ax.set_zlim([0, room_dim[2]])\n",
    "plt.title('Virtual room')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot()\n",
    "ax.scatter(mic_locs[0], mic_locs[1], c='b', label='microphones')\n",
    "ax.scatter(source_loc[0], source_loc[1], c='r', label='sound source')\n",
    "ax.set_xlim([0, room_dim[0]])\n",
    "ax.set_ylim([0, room_dim[1]])\n",
    "plt.title('From above')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "# Calculate the true TDOA \n",
    "delays = []\n",
    "for pairs in [[0, 1], [0, 2], [1, 2]]:\n",
    "    d = np.sqrt(np.sum((mic_locs[:, pairs[0]] - source_loc)**2)) - np.sqrt(np.sum((mic_locs[:, pairs[1]] - source_loc)**2))\n",
    "    delays.append(d * fs / c)\n",
    "\n",
    "print(\"The true TDOAs are \" + str(delays))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "584ac4bc-1aad-44a7-97ec-c144b3436963",
   "metadata": {},
   "source": [
    "### Plot the room impulse response for each microphone"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c6c6ef65-3cf4-4306-b28d-c69644f8a554",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "room.plot_rir()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee082b87-3295-4794-81a1-ed7a6813ee50",
   "metadata": {},
   "source": [
    "### Simulate room sound propagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "06936aa2-4bfa-4e11-92b0-9fcf7f73702d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([3, 2048])\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Signal received at mic 0')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "room.simulate(snr=snr)\n",
    "\n",
    "y = room.mic_array.signals\n",
    "plt.plot(y[0])\n",
    "\n",
    "# Pick a 2048 samples long snippet\n",
    "sig_len = 2048\n",
    "start_idx = 20000\n",
    "end_idx = start_idx + sig_len\n",
    "\n",
    "x = torch.Tensor(y[:, start_idx:end_idx])\n",
    "print(x.shape)\n",
    "plt.plot(range(start_idx,end_idx), x[0].squeeze())\n",
    "plt.title(\"Signal received at mic 0\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "689f4eba-fec3-4ad8-94de-6a5f9db1f13e",
   "metadata": {},
   "source": [
    "### Perform TDOA estimation using GCC-PHAT and a pre-trained NGCC-PHAT network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "97e3422a-e5c3-4a09-8552-6a4f5c33b252",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NGCCPHAT(\n",
       "  (backbone): SincNet(\n",
       "    (conv): ModuleList(\n",
       "      (0): SincConv_fast()\n",
       "      (1): Conv1d(128, 128, kernel_size=(11,), stride=(1,))\n",
       "      (2): Conv1d(128, 128, kernel_size=(9,), stride=(1,))\n",
       "      (3): Conv1d(128, 128, kernel_size=(7,), stride=(1,))\n",
       "    )\n",
       "    (bn): ModuleList(\n",
       "      (0): BatchNorm1d(128, eps=1e-05, momentum=0.05, affine=True, track_running_stats=True)\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.05, affine=True, track_running_stats=True)\n",
       "      (2): BatchNorm1d(128, eps=1e-05, momentum=0.05, affine=True, track_running_stats=True)\n",
       "      (3): BatchNorm1d(128, eps=1e-05, momentum=0.05, affine=True, track_running_stats=True)\n",
       "    )\n",
       "    (ln): ModuleList()\n",
       "    (act): ModuleList(\n",
       "      (0): LeakyReLU(negative_slope=0.2)\n",
       "      (1): LeakyReLU(negative_slope=0.2)\n",
       "      (2): LeakyReLU(negative_slope=0.2)\n",
       "      (3): LeakyReLU(negative_slope=1)\n",
       "    )\n",
       "    (drop): ModuleList(\n",
       "      (0): Dropout(p=0.0, inplace=False)\n",
       "      (1): Dropout(p=0.0, inplace=False)\n",
       "      (2): Dropout(p=0.0, inplace=False)\n",
       "      (3): Dropout(p=0.0, inplace=False)\n",
       "    )\n",
       "  )\n",
       "  (gcc): GCC()\n",
       "  (mlp): ModuleList(\n",
       "    (0): Sequential(\n",
       "      (0): Conv1d(128, 128, kernel_size=(11,), stride=(1,))\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): LeakyReLU(negative_slope=0.2)\n",
       "      (3): Dropout(p=0.5, inplace=False)\n",
       "    )\n",
       "    (1): Sequential(\n",
       "      (0): Conv1d(128, 128, kernel_size=(9,), stride=(1,))\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): LeakyReLU(negative_slope=0.2)\n",
       "      (3): Dropout(p=0.5, inplace=False)\n",
       "    )\n",
       "    (2): Sequential(\n",
       "      (0): Conv1d(128, 128, kernel_size=(7,), stride=(1,))\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): LeakyReLU(negative_slope=0.2)\n",
       "      (3): Dropout(p=0.5, inplace=False)\n",
       "    )\n",
       "  )\n",
       "  (final_conv): Conv1d(128, 1, kernel_size=(5,), stride=(1,))\n",
       ")"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load the GCC-PHAT and NGCC-PHAT modules for TDOA estimation\n",
    "\n",
    "max_tau = 23\n",
    "gcc = GCC(max_tau)\n",
    "ngcc = NGCCPHAT(max_tau, 'classifier', True, sig_len, 128, fs)\n",
    "\n",
    "# Load the model weights\n",
    "ngcc.load_state_dict(torch.load(\n",
    "        \"experiments/ngccphat/model.pth\", map_location=torch.device('cpu')))\n",
    "ngcc.eval()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0256551a-e285-49c6-8067-3a589e1215e8",
   "metadata": {},
   "source": [
    "### Compute the cross-correlation and probability distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0d6efa4c-5a9a-486b-befd-bb681b465241",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[W NNPACK.cpp:79] Could not initialize NNPACK! Reason: Unsupported hardware.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True TDOA (in samples): 14.904648298093212\n",
      "GCC-PHAT estimate: 13.0\n",
      "NGCC-PHAT estimate: 14.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True TDOA (in samples): 12.919446671572926\n",
      "GCC-PHAT estimate: 4.0\n",
      "NGCC-PHAT estimate: 13.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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VU98p0ubYBvU32xmHn1IAVQe67ZtoDtcWfohx2223sXv3bqxWKytWrGDWrJFV1ksLviakKW9QpRPS4yJPLjz6GUTEQbpz8jAlHw59BI52MBg7Nks0h1OnBT+keOGFF/x2rNzcXHbu9FgvcsiiffiakKbMaeGPchf8Y59D1ryT4p5SoGrq1Bd32jcx2kRNsxZ8TeigBV8T0pQ7Bb/DwrfUQOXek+4cgOR89beLW0dZ+DosUxM6aMHXhDQVDVbiIsOICnda88dUCB05C05ulOIsjNYlUifRHE5dSxsOhwzASDWawUcLviakKWuwdvffG8NhjNtkXXQyRCV1F/zocNodkkarHY0mFNCCrwlpyhtaOwv+sQ2QMRtMkZ039BCpk2hW2bY6+UrjL+69994eY/p74ne/+53fzq8FXxPSlLtb+LZmKN0K2ad23zAl36NLB9ChmZqgogVfo/EBh0NS0dhKuisGv2QzOOyQvaD7xikF0FypJnWdJEYrwdehmaFBUVEREydO5Bvf+AaTJ0/mnHPOoaWlhU2bNjFt2jRmzJjBD37wA6ZMmQJAe3s7d999N1OmTGHatGn87W9/A1TVzQULFjB9+nTmzZvnsSTCkiVL+O53v8uMGTOYMmUKGzdu7Fi3e/dulixZwtixY3nwwQc7ll966aXMnj2byZMn8+ijjwJwzz330NLSwowZM7juuusGfA10HL4mZKluttHukIyKd1r4xz4HhArJ7Ipr4rb6IJjVepdLp6ZZR+r4lXfugbId/j3mqKlw3n29bnbgwAFefPFF/vnPf3LVVVfx6quvct999/HPf/6T+fPnd6p7/+ijj1JUVMTWrVsJCwujpqYGm83G1VdfzapVq5g7dy4NDQ1ERUV5PJfFYmHr1q188skn3HzzzR0x+3v37uWjjz6isbGRwsJCvvnNb2IymXjiiSdISkqipaWFuXPncvnll3Pffffx0EMPsXXrVr9cJm3ha0IWV0hmWqxT8I9+BulTICqh+8YprtDMk24dbeGHHnl5ecyYMQNQZYuLiopobGxk/nwVpnvttdd2bLtmzRpuv/12wsKUXZyUlMS+ffsYPXo0c+fOBSAuLq5jfVeWL1dFhE877TQaGhqoq6sD4IILLiAiIoKUlBTS0tIoLy8H4MEHH2T69OmceuqpFBcXc+BA9+zvgaItfE3IcjIGPwLa25RLZ2YPt8UJOSp6x03wYyPCCDMIPWnrb3ywxAcLV8liUGWLS0v904fppptu4quvvmLMmDEdrQp7Kp3cdQx2u52PP/6YNWvW8Pnnn2M2m1myZAlWqxV/oy18TcjSkWUbHwll21WHK/eEK3eMYZA0rlOkjhCCBHO4dumEMAkJCcTGxvLFF18AsHLlyo51Z599Nv/4xz86qlrW1NRQWFhIaWkpmzZtAqCxsRG73c6TTz7ZrS+tq+rlunXriI+PJz4+vsdx1NfXk5iYiNlsZu/evWzYsKFjnclk8lujFC34mpClvKEVISAlJgKOOhOuehJ86CFSx6RdOiHO448/zje+8Q1mzJhBc3NzhzDfeuutZGdnM23aNKZPn84LL7xAeHg4q1at4tvf/jbTp0/n7LPP7tESj4yMZObMmdxxxx08/vjjXsewbNky7HY7EydO5J577uHUU09Gkt12221MmzbNL5O2QlXTHHrMmTNHbt68OdjD0Axj7nl1O2v2VLD5Z0th5XVQvhO+u63nHT74Fax/AH5aBkY1YXvV3z9HCFh1u5cfCk2v7Nmzh4kTJwZ7GB5pamoiJiYGgPvuu4/S0lIeeOCBAR1zyZIl3H///cyZM8cfQ+wRT9dVCLFFSunxxH6x8IUQy4QQ+4QQB4UQ3dq7CyGyhRAfCSG+EkJsF0Kc74/zajTeKGuwMio+AqRUETqewjHdSSlQYZs1RzoWJUabdD2dEOett97qCJ/89NNP+dnPfhbsIQ0aA560FUIYgYeBs4ESYJMQYrWUcrfbZj8DXpJS/p8QYhKqqXnuQM+t0XijvKGVMfGRyk1jqYacXqx090idVBWmmWgO5ytL3eAOVBNUrr76aq6++mq/HvPjjz/26/H8hT8s/HnAQSnlYSmlDVgJXNJlGwnEOZ/HAyf8cF6NxisVDVbS4yNPFkzrzcJP9hyaWWuxMVRdn8MJfQ39S3+upz8EPwNwLyRe4lzmzr3A9UKIEpR1/21PBxJC3CaE2CyE2FxZWemHoWlGKq32dqqbbaTHRqoJ2+hUSB7nfafIOIgd3SlSJ9Fsoq1d0mxrH+QRhzaRkZFUV1dr0fcTUkqqq6uJjIzsfWM3AhWHvxx4Skr5JyHEfOBZIcQUKaXDfSMp5aPAo6AmbQM0Nk0IUtno6nQVAQd2wZiZ0CUu2iNdInUSnPV0apttxETotJX+kpmZSUlJCdqQ8x+RkZFkZmb2aR9/fIKPA1lurzOdy9y5BVgGIKX8XAgRCaQAFX44v0bTjU5JV7VFkLvQtx1TCmD7y2qiVwiSXIJvsZGVZB6k0YY+JpOJvLy8YA9jxOMPl84mIF8IkSeECAeuAVZ32eYYcBaAEGIiEAnon3rNoOHqZTsmvAVsjZCY69uOKQXQWg9NyhZJjHbV09Gx+Jrhz4AFX0ppB+4E3gX2oKJxdgkhfiWEuNi52feBbwghtgEvAjdK7czTDCIuC39UuzM+wGfB7zxx6yqRrEMzNaGAX5ySUsq3UZOx7st+4fZ8N+DjPbVGM3DKGqyYjIK4Fqd3MdFHd4J7u8O8xR2Cr+vpaEIBXVpBE5JUNLSSFhuJqCtSCxKyfdsxdgyYojsideKiTBiEmrTVaIY7WvA1IUl5g1UVTastgphREO7jhKvBACnjO1w6RoMgPspErXbpaEIALfiakEQ1L4+AmiLf/fcukvO7xOKH6zaHmpBAC74mJHG5dKgtgqQ+hgOmFEB9MdgsgMq21RUzNaGAFnxNyNHUaqep1c6YWAM0HO+7hZ+SD0ioOQSobFtdE18TCmjB14QcrpDMvLBqQPZD8N0idVAuHW3ha0IBLfiakMMl+BmyTC3osw9/HCA6/PiuAmoazXBHC74m5HAJfqq9n4JvilJhnE4LP8FswtrmoEUXUNMMc7Tga0IOV1mFeOtxCIuCmPS+HySloEPwk3TylSZE0IKvCTnK6q3ERIQR3nBMWfe+VMnsSko+VB0EKTsqZup6OprhjhZ8TchR0WglzVUls6/uHBexo8HeAq2NJEXrejqa0EALvibkKG9oJT0mQvWm7a/gR6eov82VJJqdFTO1S0czzNGCrwk5yuqtjI+xQltz35OuXJidgm+pJrHDwteCrxneaMHXhBRSSioarYw3VakFA7bwq0iIUhZ+rU6+0gxztOBrQopaSxtt7ZJcg7OZ2kAF31JFmNFAbGSYjtLRDHu04GtCirJ6FYM/2uGMwfe1LHJXzCd9+ABJOvlKEwJowdeEFOWNSvCTbCecte2j+negcLOqi99cDahm5josUzPc8YvgCyGWCSH2CSEOCiHu6WGbq4QQu4UQu4QQL/jjvBpNV8qdFn5sS0n/3TkuopPBouYCkswmHZapGfYMWPCFEEbgYeA8YBKwXAgxqcs2+cCPgYVSysnAfw/0vBqNJ1xZth1JVwPBnNLh0knUFr4mBPCHhT8POCilPCyltAErgUu6bPMN4GEpZS2AlLLCD+fVaLpR3mhllBlEY6kfLPxUaFYWfoKumKkJAfwh+BlAsdvrEucydwqAAiHEeiHEBiHEMk8HEkLcJoTYLITYXFlZ6YehaUYa5fVWpsbUA7L/MfguolPAonz4SdEmmm3ttNp1ATXN8CVQk7ZhQD6wBFgO/FMIkdB1Iynlo1LKOVLKOampqQEamiaUKG+0MjFSifTAXTrJyqXjVk9H+/E1wxl/CP5xIMvtdaZzmTslwGopZZuU8giwH/UDoNH4lbL6VsYZB5h05SI6Bdptnerp6NBMzXDGH4K/CcgXQuQJIcKBa4DVXbZ5HWXdI4RIQbl4Dvvh3BpNB23tDqqbW8mkHExm5YMfCK79LVUkuOrp6IlbzTBmwIIvpbQDdwLvAnuAl6SUu4QQvxJCXOzc7F2gWgixG/gI+IGUsnqg59Zo3KlqakVKSGsv7X9ZZHc6kq+qdcVMTUgQ5o+DSCnfBt7usuwXbs8lcJfzodEMCq4s28TWEzDKDx7D6GT1t7mSxDFTAe3S0QxvdKatJmRQMfgSc3PxwP334NGlU6tdOpphjBZ8TchQ0WgllXoM9hb/CL75ZMXMiDAj0eFGarVLRzOM0YKvCRnK6q3kGp35G/4Q/HCzmvx1S77SFr5mOKMFXxMylDe0MjmqRr0YaNKVi+iUk/V0dMVMzTBHC74mZChvsFIQXg0IiM/qdXufMKe4WfgmarRLRzOM0YKvCRnKG6zkGcohbgyYIv1z0OjOBdR0PR3NcEYLviZkKG+wMkaW+8d/7yI61a2ejvbha4Y3WvA1IUGLrZ0Gq53ktlJI9JP/Hpz1dKqc9XRMNFjt2Nsd/ju+RhNAtOBrQoLyBisR2IixVfrZwk+B9lawNZ3Mtm3RfnzN8EQLviYkKG+wkiUG2LjcE269bV0VM7VbRzNc0YKvCQnKGqxkD4bgu7Jtm6tJcgm+jtTRDFO04GtCgpLalpOC768YfDhZT0dXzNSEAFrwNSFBSa1FxeCHx6iJVn/h5tJJ7KiYqQVfMzzRgq8JCYprWhhvqvRPWWR3ok/W09EuHc1wRwu+JiQorrWQhZ9j8AHCo1U9HUs1UeFGIsIMuryCZtiiBV8z7Gl3SE7UWUhpK/O/4EOn8go6+UoznNGCrxn2lDdYSWivxSRbB0fw3corJJh1ATXN8EULvmbYU1xjcQvJ9GOEjgu3ipmJZpP24WuGLX4RfCHEMiHEPiHEQSHEPV62u1wIIYUQc/xxXo0GoLi2hRxRrl4MmktH1dNJ1C4dzTBmwIIvhDACDwPnAZOA5UKISR62iwW+C3wx0HNqNO4U11gYZyhFCiMk5vj/BNHJyqUjpdPC14KvGZ74w8KfBxyUUh6WUtqAlcAlHrb7NfAHwOqHc2o0HRTXWpgYXoFIzAWjyf8niE49WU/HHE59SxvtDun/82g0g4w/BD8DKHZ7XeJc1oEQYhaQJaV8y9uBhBC3CSE2CyE2V1ZW+mFompFASU0L4wylkJI/OCdw622bYA7HIaFBF1DTDEMGfdJWCGEA/gx8v7dtpZSPSinnSCnnpKamDvbQNEOUeksbR6qafd6+pKaJMe0nIHn84AzIPfkq2pV8pd06Q4GmVjuVja3BHsawwR+Cfxxw7yeX6VzmIhaYAnwshCgCTgVW64lbjSeklNz+3Gau/sfnSNm726TV3o6h8TgmaRt8wXerpzMcBX/XiXr+9VVJsIfhN9odkhse/4KrfPysaPwj+JuAfCFEnhAiHLgGWO1aKaWsl1KmSClzpZS5wAbgYinlZj+cWxNivLurnA2Ha6hobKWyqXfL7USdlTxRql4EwKWT2FEiefi5dJ5YV8SPXt2BI0TmH576rIgvj9VxpKqZ/eVNwR7OsGDAgi+ltAN3Au8Ce4CXpJS7hBC/EkJcPNDja0YOrfZ2fvf2HszhRgAO+PAlLq6xnBT8AFj4LpdOTRcL39rWzlvbS7nvnb1Y29oHZxwDpKyhBZvdQUUIuECOVVu4/919zMlJBOCDveVBHtHwIMwfB5FSvg283WXZL3rYdok/zqkJPZ5aX8SxGgt/uXo631u1jX1ljSwcn+J1n+JaC2NFKY7wGAwx6YMzMFc9neaTLp06iw17u4P1h6p5Y+tx3t1ZRrNNCf2s7ATOmTxqcMYyAMrqVYDc0epmRsX7qcl7EJBScs9r2zEaBA8un8ntz27hwz0V/NeSQfrBDyF0pm0I8/BHB/n9O3vYUVI/5H2cVU2tPPThQc6akMalMzJIig5nf3ljr/sV17QwzlCGSMn3b5XMrjjr6cREhGEyCl7aXMIpv/uAFU9s5P3d5VwwbTRP3jgXg4Cdx+sHbxwDoLxBWfbHaixBHsnAWLWpmM8OVfPj8ycwJiGKMyek8eWxWt2nwAf8YuFrhh72dgd/eX8/dofkH2sPk5Ns5oKpo7lw2hgmjo5FDKY49oM/v7+flrZ2fnLBRIQQFKTH+Cb4tRbGG0sRyUsGd4DRyWCpQghBdpKZ4hoLSyemc/GMMSwpTCUiTLmh8tNi2T4EBb+p1U5Tqx0Y3oJfVm/lt2/t4ZS8JJbPzQbgrIlpPPDBAdbur+CymZlBHuHQRgt+iFJab8XukPz4vAkkmE38e3sp//jkMI98fIixqdF8bWYGt58+DpMx+Dd5e0obWLnxGCsW5DIuNQaAgvRYXvvyOFJKrz9OFdW1pMsqSB6kCVsX0anQpPzEr31zIQYDxEZ2T/KamhnPx/sqeh13oHG5cwCOVg9PwZdS8rPXd9DmcPCHy6dhMKjrO2VMPKmxEXywRwt+b2jBD1GKqlUc+7TMBOaPS+bqudlUN7Xyzs4y3tx2gvvf209UeBi3LBqEYmN9QErJb97aTVyUie+edVK0C9JjaWq1c6LeSkZCVI/7G2qPYEBC8rjBHag5Bcp3AxBv7jmbd2pGPK9sKaG03soYL+MONC7BjzQZhq2F/+b2UtbsqeCn508kNyW6Y7nBIDizMI23d5bS1u4YEkbMUEVfmRDFZcXlppg7liXHRHD9qTmsvO1UFuen8MCa/UEvBPbBngrWH6zme0sLSHCGPAIUjooFYH9Zz26d5lY7SdZj6sVghWS6cLp06GUuZGpmPAA7hphbp6xBCf7snMRhKfg1zTbuXb2L6Znx3LQwt9v6Myem0Wi1s7moNvCDG0ZowQ9RjlY3Ex5mID22ezSGEIKfXTCJplY7D3xwIAijU9jsDn779h7Gp8Vw7SnZndYVpDkF34sfv6S25WRIZlIALHy7FWzeQ0UnjY7DaBDsKBlagl/uFPy5uUnUNNtotA6vPIL/eXMXjdY2/veK6YR5sOAXjU8h3GjgQx2e6RUt+CHK0WoLOUnmDj9nVwpHxXLNvGye23CUQ5XBSVp55vMijlQ189MLJna7DY83m0iPi2CfF8F3Vcm0mUdBRMzgDjbaWerD2fmqJyJNRvLTYoaehV9vJT7KREG6+iEdLlb+7hMN/NfzW3hj6wm+dcb4jju/rkRHhHHquGQ+2FMxKOOoamrlyr9/FrTvir/Qgh+iHK22kJNs9rrN95YWEGky8vu39wRoVCept7TxwAcHOL0glTMK0zxuU5Ae69XCL651Jl0NtjsH3JKvqnvddGpGPDuOD61Q2LIGK6PiIslOUp+JY0N84nbn8Xpue2Yz5z/4KZ/ur+I7Z47nW2d4j7M/a0Iah6uaOTwIovz2jlI2FdWydt/wLuqoBT8EkVJytKaZnORor9ulxkbwrTPGs2ZPBesPerdc/c2XxbU0Wu3cfvrYHrcpTI/lYEVTj6WIi6tV0pUpNQCC71ZeoTemZcZT02zjRP3QqQRe3mAlPT6SbKcRcHSIWvhbi+u45alNXPi3dWw4XM1/L81n3Y/O5K5zCnudjD1zgjIcPtzrfyv//d3KVXSgovdQ4aGMFvwQpKKxFWubo1cLH+CmhblkJkbx63/vDmiN9xKn4IxN6dkVU5Aei7XNQXEP4lRbXUqCaFZJV4NNR8XM3i28KRnOiduSukEcUN8oq7cyKi6CuEgTiWbTkHTp/ODlbVz68Hq2HKvl7nMKWHfPmfz30gKvUVHuZCWZKUiP8bvgN1jb2HBY3dkN95o9WvBDEFeETm8WPiif8z3nTWBvWSOvbCnudXt/UVzbQniYgbTYiB63KXD6a3vy44vqg+rJYNXQccetnk5vTBwdR5hBDBk/flu7g8qmVkbFqQn87OToIefS2Xm8npe3lHDdKdms+9GZ3HlmPnEe8hx648wJ6Ww8UkODHyelP95XSVu7ZOLoOPaXNQ4pV11f0YIfgrhi8HOSerfwAS6YOprZOYnc/97+jmzMwaa4xkJmQlSPk8oA+WnK+vcUmimlJLrxiHqREgDBD4+GsCifXDqRJiP56bFsHyKROpWNrUgJo+JVXkB2knnIWfhPrD9CdLiRH503gZiI/qcHnTUxDbtD8ul+/7ko399dTnJ0OFfPyaSx1d4R4joc0YIfghyrtmA0CDISfUv8UWGaE6lsbOXvHx/q8/maWu181sc5gOJaC5m9/CBFR4SRmRjF/orut9F1ljbGtB+nXYRBwiD0sfU4oFSfBB9gWkY8O4fIxK1LoEbFq7upnCQzx+taaGt3BHNYHVQ0Wnlz2wmumJ3ZL6venZlZCSSYTX6rnmmzO/h4bwVnTUxjwug4YHi7dbTghyBF1c1kJET1KeNwZnYil8wYwz8/PczxupY+ne8v7+/nuse/6FPxquKaFrJ8+EEqTI/1aOG7qmS2xOSAwdin8fYbV/KVD0zJjKfW0kZJbd+u5WBQ7pw8zrNsh88eIjvZTLtDcqKP/+fB4vkNx2hrl9y4cOBZ32FGA0sKUvl4X6Vf5qQ2HK6msdXOOZNGdYS0eksGHOpowQ9BjtX0HpLpiR8umwDA/e/u83mftnYHb2w9jpT43JawwdpGfUsbWT64nApGxXKosgmbvbM1WlzTosoiB8J/78JZMdMXpjknbodC5UyXhT9m33Pw3k8ZH66yUYeCW6fV3s7zXxzlzAlp5KX0PufkC2dOTKem2cbW4roBH+v93eVEmYwsyk8hKTqclJgIn4r6DVW04IcgRVXN/RL8jIQovn5qDqu3nejIzOyNT/ZXUtVk6zivL7iibrISex9jYXosdofsmJdwUVLTSI4oIyK9wKdz+oVo3wW/cFQsYQYxJCpnljVYCTcaCK8/DMD4ineBoVFE7c1tpVQ12bjZD9a9i9MLUjEaBB/sGZhbR0rJmj3lLM5PIdKk7iIL0mM8uhiHC1rwQ4w6i40Gq51cHyJ0PHHdqTm0OyQvbfItYue1L4+TaDZhNIhuotwTxTXKlZCV1LtLJz/dOXHbxapqKjtMuGgnIr3Qp3P6hegUn+rpgJq4LRwVOyRKLJTVW0mLDUdUq/mZ2AP/Ijws+EXUpJQ8uf4IBekxLByf7LfjxkeZmJubOODwzJ3HGyitt3L2pJONdQrSYzlQ3jhs20RqwQ8xipxWW7aPETpdyUuJZtH4FF7ceKxXH2i9pY3395RzyYwMMhKiOs7dGyW1vlv441JjMAgPflNXSGYgYvBddNTT8e2Hbahk3JbVW5kYY4G2ZkidgCjfxeK4iqCHZm48UsOuEw3ctDDP76Wkz5qQzt6yxo7PWn94f3cZBgFnTews+BZbe5/nuYYKfhF8IcQyIcQ+IcRBIcQ9HtbfJYTYLYTYLoT4QAgRoLCKkcdRV0hmPy18gOtOyeZEvZW1+71bSP/ecQKb3cHlszLJTYn22aVTUttCTERYR7tAb0SajOSmRHeLxY9sUO6JgMTgu+hDLD6oypn1LW0ddzTBorzBypRIZ8LY4u+DMHKZaUPQs22fXF9EgtnEpTMy/H7sMyeqrNv/7Czr9zHe213OnJykjj7GoFw64L2o30DZV9ZIxSCFfg5Y8IUQRuBh4DxgErBcCDGpy2ZfAXOklNOAV4D/Heh5+8MbW4+z5I8f0Wofmk2m/cHRAVr4AEsnpZMaG8HzG4553e61L4+TnxbDlIw48pLNFFU1+2TNFtdYyEyM8tmqK0iL7dTQ3OGQJLYcpcUYB2b/uQJ6xccCai6mZgS/VLKUkrIGK+ONTuHLng9jl7Cw5SOOVTcF7e6juMbCe7vLWD4vm6hw/0dZjU2JZl5uEv/45DAttr5/34trLOwta+zkzgHId0XqDGJo5k/+tYNrH/tiUP43/rDw5wEHpZSHpZQ2YCVwifsGUsqPpJQuc2IDEJS2NP/66jhF1ZZO4hFqHK22kB4XMaAvkclo4Jq5WXy4r6LHW+Kiqma2HK3l8tmZCCHISY6msdVOtQ+hmcW1Fp8idFwUjIqlqLoZa5v64lY2tZIjS2mKyRncPrZd6UM9HVATtyajYPvxusEbUy80tNixtjnIkicgLBLiMmDqlSTaSils2xu0PrDPfF6EEIIb5g/Ozb4QgrvPLaSysZWnPy/q8/6u2jldBT8+ysSouEgODJKFv+VoDVuO1nLD/JxB6ZjmD8HPANxn+Eqcy3riFuAdTyuEELcJITYLITZXVvq3Kp21rb2jHsauE8GfSBssjvlQNM0XrpmXjUA1jPbEa1+WIAQdt+OukLqjvUzcSimdMfi+C35heiwOCQed0RHFNRbGGkqxJwbQnQMqDh98dulEhKmJ22CGZrpCMtNsJapngMEAEy6g3RjBJcb1QXHrNLfaWbmpmPOmjGJ0/OB1BZuXl8SSwlT+vvZQn0stvL+7nPy0mE6dtVzkp8d4Lds9EP75yRESzCaumD04NnFAJ22FENcDc4A/elovpXxUSjlHSjknNTXVr+feeKQGa5uK5d51osGvxx5KFDnr4A+UjIQozihMY+Wm4m4ZmQ6H5LWvjrNofAqj4lV9FtcX40iVdwGpbrbR0tbuU4SOi8JRnf2mJyorGS1qCA9kSCa4uXR8N0amZiSwoyR4E7cuwY+3HD3ZBjIyDkvu2Vxg/IKSqsD/GL36ZQmNVjs3B6C95t3nFFJnaeOxT4/4vE+dxcbGohrOmZzucX1vVVz7y5GqZt7dXcbXT83BHD443Wf9IfjHgSy315nOZZ0QQiwFfgpcLKVs9cN5+8Qn+ysJDzMwJSMuZAXfYrNT2djq0SrpD9edmk1lYytrdneOZ95YVENJbQuXzzpphWQmRqnQzF4mbvsSg+8iJzkak1F0+E2bT+wHIDZjgs/H8At9qKfjYmpGPA1We9BCIMvqWzDSTmTTsU4T3BEzryFFNCAPrQ3oeBwOyVPri5ielcCs7MRBP9+UjHjOnzqKxz89THWTb7Lz0b4K2h2SsyeN8ri+ID2WVnvPVVz7y+PrDmMyGLhhfq5fj+uOPwR/E5AvhMgTQoQD1wCr3TcQQswE/oES+8FpSdMLa/dXckpeErOzE9lT2jBs42i94Y8JW3dOL0gjIyGK57/oPHn72pclRIcbO1lAJqOBzMQojvTi0imudcXg+z5Gk9HAuNSYDgu/vVK1ZQwPZAy+i+gUn5qguJjm7HEbrEJqZfWtZIgqhMPeqdF7+IRzaCCajJK3AjqetQcqOVzVzM0e+tIOFnedXUBLWzt/X+tbnaj3dpWTFhvRkS3dFVduiD/dOtVNrby8uYSvzcog1UsF2YEyYMGXUtqBO4F3gT3AS1LKXUKIXwkhLnZu9kcgBnhZCLFVCLG6h8MNCifqWjhQ0cTpBalMHhOPxdbuc5LQcKKjcbkffPgARoPgmrlZrDtY1VE2ocXWzts7yjhv6uhut525ydG9+vBdVlGmj4XdXBSkx7LPGYsfXn8YBwKSem6eMmhEp/TJpVOQHku40RA0P35Zg5XpUc7xuoewhkWwKWoxkxs+AVvg7j6+OFyDySg4f+rogJ1zfFosX5uVydOfH6W03nuIrLWtnbX7K1k6Kb3HSq6uSB1/Ttw+t+EYrXYHty4eXDeXX3z4Usq3pZQFUspxUsrfOpf9Qkq52vl8qZQyXUo5w/m42PsR/csn+9UH/rSCVCaNURXvQtGt4xLb7N7KKjRVwvoHoa33+PCr52ZhNAhe3Kis/Pd2l9HUau/kznGRlxJNUZXFq7+6pNZCcnQ40X0sgVuQHsPxuhaaWu0kNB+lLiwNTIM34dcjfainAxAeZmDC6OCVSi5vsDIlwoPgA/vTlxElW2C/xxiKQaG22UaiObxPhf38wXfPykdKyd8+POh1u88PVWOxtXeLznEnJiKMjIQov4VmWtvaeebzIs6akMb4NM89e/3FiMi0Xbu/ktHxkeSnxZCfHkOYQbC7NAQFv8ZCotlEfJSXhCa7DVZdD+//HDY/0esx0+IiOWdSOi9vLsba1s6rXx4nIyGKU/KSum2bm2ymqdXeUVvHE8U1Lb2WRfaEq1LhntIGRtlLaIjO7fMx/EIfXTqg/Mg7T9QHxY1YVm8lP6wcIuO75SzYM+dTJhNp3/ZywMZTY7F1SmTyCSnh6Gfg6H/+TFaSmeXzsnlpU3GPd6HtDsnrW48THW5kwTjv+R2Fo7z3W+4Lr315nOpmG7cuHvw71pAXfHu7g3UHqzi9IBUhBBFhqjlFqFr42b25c/5zDxRvgLhM+OxvYO99Iuu6U3KotbTxzOdFrDtQyWUzMzze7romi725y4prLT6VRe5KobP71cd7y8kTpbQljOtlj0HCnKws/D5E3UzLiKfRag9KCGR5g1XF4CeP75azkJ0Sy+r2BRgOrQFLTUDGU2ex+ZRh3Yntq+DJ8+Ddnwzo3HeeMZ4wo+Cvaw50Wt7W7uClzcWc/ee1vLH1BBfPGENEmPc8lvz0GA5XNmMfYE8Bh0Py2KeHmZoRz6ljuxtR/ibkBX9rcR2NVjunFZwM85w8Jo7dJ4Jf48TfHK22kOvNnbPlKdj8OCz8b7j4QWgshW0rez3ugnHJ5Cab+d//7MMh4WuzPKdZuOYOeorUcdVg78uErYusRDORJgNf7d5HrGjBmBbAGjruRKeCvcXnejrg1uM2wH78Vns71c020ttKPJagyEoy80b7AoSjDfYEZlqtprkfFv6Xz4Iwwhd/h02P9/vcaXGR3Lggj9e3HmdfWSPWtnae/qyIJX/8mB++sp1Ik5GHr53Fby6d2uuxCtJisbU7fK4f1RMf7K3gcFUz3zht7KAkWnUl5AV/7f5KjAbBwvEpHcsmjY6jqslGZWPAo0MHDZvdwYm6lp5j8Is3wlt3w7iz4KxfwLgzYfQMWPcXaPfe1tBgEFx7SjZ2h2RmdgJjUz03Hs9MjCLMS9XMsgYrbe2yTyGZ7mPIT4ulvVL5YGPGBDgk00Uf6+mAc+I2zBDwpuYVDa1EYCOutcyj4Ockmdklc6kz58KOVwIypjpLGwnmPgh+zRE4ug5O/xHknwNv/wAOf9zv899x+lhiwsP47sqvWPSHD/nl6l2Mjo/kyZvm8tZ3FnHBtNEYvbTddOG64xyoW+efnxwmIyGK86d4DgH1NyEv+J/sr2RGVkInv/bkEJy4Lam14JA9FE1rKIVVX4f4DLj8MdUhSghVSKv2COx+vdfjXzE7i+TocFZ4iREOMxrISjJT1EPyVUcMfh+SrtwpSI9lrOEEAEnZXcs1BYiO8gq++/HDwwxMHBXLxqLagN5VljVYyRXOGjrJ3V1gSdHhxESY+Cp+KRStg/pu6TN+xeGQ1FpsJPVF8Le+AAiYeR1c/jikFMBLN0CV98nXnkgwh3PHknHsLWtk8ph4Xrp9Pq98cwFnFKb1ycIelxqDEAMT/K+O1bKxqIabF+URFqBJ7JAW/OqmVrYfr+f0gs5ZuycjdYZHiQUpJWv3V3ot+uYKyezW+MTeCi99HVob4ZoXwOzmJ5xwofoCrftLrz7ppOhwtvz8bC6d6b2yYW6yucfOV/1JunKncFQMeaKMVsIJS8zu1zEGTD+ybQEumZHBtuI6/tLFfzyYlNVbyesQ/O4WvhCCrCQz/xGLAAm7XhvU8TRa7TgkvvvwHQ7Y9iKMOwPiMyEyDq5dCYYweOGqfs87/NeScWz48Vk8ffM85nkIPvCFqHAj2UnmAQn+Y58eITYyjKvnZvW+sZ8IacFfd7AKKekm+LGRJnKSzcPGwv/sUDUrntjoNT3cY1lkKeHtu6FkE1z6CKRP7ryTwQCLvgflO+HAe34Za44zFt+TJVtc24IQMCahfxZ+fnosY8UJysMy1NiDQR/r6bi4aWEuV87O5MEPDvDyZt+aywyU8gYrY0WpepHkeZI7J8nM5sZEGDUV9r49qOOpsajoLZ99+EfWQn0xzLju5LLEXLj6ebX85RXQ3rcaOaB+6FwlQQZCQXpsv0Mzj1VbeGdnKdedkkNMH0OUB0JIC/7a/ZUkmk0dk2buTBodN2xCM19wxsA/t+Fot7o2LoqqLZjDjaTEuH2ZNj8BXz4Di+6CyZd6PvjUKyE+Cz79U58iT3oiLyWaZls7lR7S2EtqLIyOiyQ8rH8fu8L0WPJEGXXmILZT6GPFTBdCCH73taksGp/Cj1/bwfqDfdu/P5TVq7LIMnY0RHied8lJNlNc24LMP1dFbw1itE6tU/ATfXXpbH1ehZNOuLDz8pz5cNEDcOQTZdAEKfiiID2GoqrmfpVb/3h/BQ4J184L7J1qyAq+wyH5ZH8Vi/NTPU7CTB4Tx9FqS5+r6AWaqqZW3ttVxsTRcZTWW3lvl+c+napxefRJP6TDAWv+B/JOhzN/1vMJjCZY+F0o/kLFOg+QjtBMD3784lpLv2LwAag7xuj3bmecoZSIrJkDGeLA6Kin0/dqriajgUeun8XY1GjueG7LoDfDLmtQMfjCS5OYrCQzNruDqowzQTrg4JpBG0+tsxRzoi8Wfksd7HkTplwBJg/W+IxrVbTZlqdg46P+HKbPFDj7LffkwvTGntIG4qNM/Z7P6i8hK/h7yhqoamrtFI7pzuQxyurfM8TdOq9uKaGtXfLXq2eQk2zmqc88u3WKqps7R+jUHoHWemXBG3qpjT/zeuWb/vRPAx5vnpfQzL6WRQZU2v9Hv4OH5iL2vwdLfkLhpd2aqgUOIZRboWJ3v3aPizTxxI1ziTQZuenJTVQ0Dk5nI1AWfg6lHidsXbjmfA6ZCtRnYP9/Bm08tRZlXCX64sPf9ZpqJznzup63OeuXKurso9/2y7UzUAoG0Axld2kjE0fHBiQU052QFfy1rnIK+Ske17smboeyW0dKycpNxczNTaRwVCxfPzWHTUW13eqytDskJTUt5KS4iWnpVvV39LTeT2SKglP/Cw59ACe+GtCYxyREegzNbLW3U95o9d2ikRJ2vgYPzYW1f4DC8+HOTbDkR54tvkAy7kx1N+RDaQpPZCaaeWLFXGqabdz69GYsNu9hsf2lub6SOEe91zaQrkJ7x2qskH+usvAHSTz7ZOF/9TykToQxs3rexmCAOTeDtR6Ofe6nUfrO2NRojAbR55o67Q7J/rJGJo6OG6SR9UzoCv6+SiaNjiMtzrM4pMVGkBITPqQnbjccruFIVTPXzFV+vivnZGEON/LUZ0Wdtiutb8HW7iAnyW3CtnQ7GEzqS+MLc2+BiHgVsTMAwowGspPM3QT/eG0LUvoYoVNzGJ66EF65CaIS4ca34MonISFw0QxeGX+Wsj6L1vf7EFMz4/nb8pnsPF7Pd17c6vfa6lJKopuOqhdeBH9MgiprfbSmGQqXOcVzg1/H4qLWYiPMIIjtbZKych8c36ys+94s4HFngDEC9gWuHpCLiDAjucnmjqJ+vnK0upmWtnYt+P6iqdXOlqO1PbpzQE2iTRoTP6QFf+WmY8RFhnHBNFVZMD7KxOWzMlm99QRVbpOixzqqZLpb+NsgfRKE+ThBFhkP826F3auhcv+Axp2bEt2tEUqfyiK//QMo2w4X/BluXwu5iwY0Hr+Ts1D58Qfo7146KZ1fXjSZNXvKWXL/R/zx3b19Fo+eqGm2keVQOQveBN9kNJCREMWxmhYYewYYwwfNrVNrsZFgDu/djfHVcyqzdtrVvR80PBrGng773g7K5G1BeiwHKvrm0tlTqv7Hk7Tg+4fPDlZhd8hu4ZhdmTwmjgPljUOyqXlts413dpRx2cwMIk0nffArFuRga3ewcuPJGvWu9O6OKplSKsEf5YM7x51Tvqn6ng7Qys/1EJrpc9JVwwk49CGccoe66+ht/iEYmCLVj5AfJjhXLMjloWtnkpsczf99fIhz//oJy/76CY98fHBADTbKGqzkGUpxCCMkeI9qyk4yc6y6WUXy5C4ePMFvbuvdf99uV7VzCs6FmDTfDlx4HtQWqTuDAJOfHstRt37LvrCntAGjQTA+zXPk1GASkoK/dn8l0eFGZud476gzaXQcdocckk3NX/vqOLZ2B8tP6Ry2NT4tlsX5KTzrFqJ5tKYZk1Gc7A/acBxaamD09L6dNCYVZq+AHS9BXf9jxXNTzFhs7Z1KVxTXWgg3GkiP7cX/vn2VihaZsbzf5w8I45dC9QElNAPkwmljePaWU/jiJ0v5n4snEx0Rxv/+Zx+L//cjvv74F30SExcqBr8MW2xWr3d52cnmk4XdCpZB9UGfMlk/O1jFZ4d8Dy+tsdh6998fXANN5Z1j73ujYJn6u29w8wg80bXfsi/sKW1gbEp0J0MuUISc4LuyUuePS+k13ttVYmH3EHPrSCl5ceMxZmYnMGFU99u+mxbmUt7Qyru7VBblsWoLWUnmk+GnpdvU39Ez+n7yBd9Wfz/7Wz9GrnAVUXMPVyupaSEjMarHphKAujPZ+gJkLwhOc5O+MH6p+nvwA78dMjU2ghULcnn1mwv49Idn8J2z8vn0QBVPri/q87HK6lvJE6U9Jly5k5Nkps7SRn1Lm7KsAQ6863WfkloLtz6zmfve2evzmOp8Kauw9TmV6+Aahy/EjVGf9SD48Quc3a8OVPjuittT2hAU/z2EoOCX1LZQUtvC6YW9N0HPTY4mOtw45EosbD5ay8GKJpbP9ZyUsaQgTYVoOoWgW+Py0m0gDN0za30hPhOmXwNfPq0apfSDPA9lkotrLb13uTq+Bar2qxjroU7yOOUq8aPgu5OVZOausws4c0Iaj3x8sCPCxVfK6izkiTJMPjR6d0XqFNdYIDEH0iZ5FU8pJT/5104stnYqGnwvQFjT3EZitBeXTnM17PuP8t0b+1hCufB8lVHeFNgOqrkpqt/yvjLfLPw6i40T9dbhLfhCiGVCiH1CiINCiG5B0kKICCHEKuf6L4QQuf44ryeyksysv+dMLp42ptdtDQbBxCGYcfvixmPERIRx4XTPbeAMBsEN83PZfLSWHSX1HKtu7lxSoXS7qpET3s8kp4XfUzV4NjzSr93HJERhMopOE7fFNZbeJ2y3Pg8mc89ZwUMJIZSVf2StaiozSPxo2QSaW+089FHfioVZakowi1aMKT1P2Lpwzf10NFovOFeFObbUedz+tS+P88n+SjISoqhqavWpsYuUkjqLzXuW7Y6XwNHmPfa+JwrPAyTs935n4m9MRgNjU2J8Ds10TdhOHD24na16YsCCL4QwAg8D5wGTgOVCiK6lDG8BaqWU44G/AH8Y6Hm9kZEQRbyPBZomjYlj94mh09S83tLGW9tLuXTmmG49Y925ck4m5nAj97+3j2Zbe+eiaaXb+u6/dydlvBLdTY/1+KX3htGginK56vs0tdqptbR5D8lss8KOV2HixRARnC9Dnxm/FGxNKkt5kCgcFcsVszN59vOjfZrENdYeVk+8ROi4cFn4e12GT8EycNjV5HkXKhtb+fVbu5mTk8jNi/KwOyR1Lb3H7Te22rE7ZM+C39aiat2PntG/O9NRU1VTn0FMHOuJ/PQYnxua7y1T1zgYETrgHwt/HnBQSnlYSmkDVgKXdNnmEuBp5/NXgLNEoFPMemDymDiabe1B6Ubkide3HqfV7uiIve+JuEgTV8zO7Egw62hc3lQJjSf6HqHTlUV3QWuDEv1+kJcc3eHD9ylCZ99bKjN4qE/WupO3WOU6HHx/UE/zvbMLEAL+9J7vUSjmBmdGtg+CHxtpYv7YZB7++BBvbD0OmXMhKsmjeN775i4sre3cd/k0RjlzXHzJFvaadCUlrP62miw+46e9HssjQigr/9CH/U6I6y8zshIoqW3hRF3v591T2kBydDipsREBGFl3/CH4GYB7SEeJc5nHbaSUdqAe6NY0UghxmxBisxBic2Vl//zHfcVVYmEo+PFdk7XTMuM9Fnzryg1utek7QjLLXBO2A7DwQWXo5p+j3Dq2vv8Y5qZEc7RaNTT3qSzy1heUhZZ7Wn9HHHgiYiH71EHz47sYHR/FzYvyeH3riW5Z1j2RaD2GTURAbO+uTYB/rpjD7JxE/nvVVl7ackL97w+816mP7Lu7ynhreynfXZrP+LSYDtHypZGQ17IK6x+AHS+rmk8F5/g0Xo8ULoM2iyqqFkAW56v5wnUHeo9Y2lOqMmyDZe8OqUlbKeWjUso5Uso5qam9T7r6g46m5kMgUuer4jr2ljWy3McKeuPTYjitIBWD4OSEqCtCZ1Tvbdp6ZfH3VcPuL5/p8665KdG0tLVT3tDae9KVK/Z+xvLglT3uL+OXqvLSDaWDepo7Th9HgtnkU1SMta2dMe3HaTBn+3w9YyLCePqmeSwan8IPX93OWjELWmpVpzSgvqWNn7++k4mj47jtNBVB1SfB78nC3/8erLkXJn9Nfd4GQu5iCI8JeHhmQXoMabERfHLAu5Fqb3ewr7wxaP578I/gHwfcc94zncs8biOECAPiAd9bBg0iEWFGxqfFDImM25Ubj2EON3LRdN+sMoBfXzKZB5fPPNl0uXSbKu4VlTDwAWWfqrJKP3uwzxOTrqzfoupmimssRIcbe066ccXeTx9G7hwXrvDMQ4Nr5cdHmfj2mfmsO1jFJ/u9C4ur8Yk1Lq9P54gKN/LYijksnZjOnV8k0S7COtw6v397D9XNNv54xTRMzu5MaU7Br/DJwvdQGrnqALx6C4yaApc81HsZhd4Ii1BlL/b9R1WLDRBCCBblp7D+YJXXucAjVc3Y7I6gReiAfwR/E5AvhMgTQoQD1wBdOyKvBlY4n18BfCiHUAfxyUOgxEJNs403tp7g0pkZfWqIkJMczYXuEUml2wfuznFn0V0qkWv7qj7t5t7QvKRWReh4vI3tiL2f77Wq45AlfTLEjBrUssIurj81m8zEKH7/zl6vwlJW20i2qED6EIPflYgwI/93/SxOmzaODfZCqr5azfqDVazcVMw3Fo/t5GqMjgjDHG70ycKvcVr4HXH4LXXw4jWqlMM1L6oSCf6g8HxoKoPSgRUB7Cun5adSa2nzqiOuaEBPuTWBYsCC7/TJ3wm8C+wBXpJS7hJC/EoIcbFzs8eBZCHEQeAuIIj1bbszeUwcVU2tg1qqtjde3HiMVruDmxbk9v8gLXWqLPJAJ2zdGX+WOt66v3Ty5/bGmIQowo0GjlQ3U1zTQmZP/vvhFHvvCVd45qGPem0GP1Aiwoz84NxC9pQ28PrWnvvPNpYdwiTaCfchBt8TJqOBB6+ZSeWYM0ixHObeZ94mLyWa/16a323b1NgInwS/ztKGQUBsZJj6HL16C9Qehauf9W9RvPxzVA7KvsBG6ywcr6ryenPr7CltxGQMTkkFF35xmEop35ZSFkgpx0kpf+tc9gsp5Wrnc6uU8kop5Xgp5Twp5WF/nNdfBLupeVu7g2c/P8ri/BTy0wfg3yvbof72J8O2J1zNzmsOwe43fN7NaBBkJ5spqmqmuNbSc4TO1udVIbJJl/pnvMFg/FlgrYMTXw76qS6aNoYpGXH86b39PZZcaKtQfXNjMib0+zxGg+DiK28GYJFjM/d9barHUgBpPgp+jTMG32AQ8MH/qDui8/8IOQv6PUaPmJMg69SAZ92mxkYwcXSc14nbvWUNjEuN6XfHN38wzGbIBoeJQS6x8M7OMsoarNy8sG8+126UbVd/famB3xcmXgTJ+fDpn/tUkTA32cxXx+qw2No9W/iu2PtJF6sG1cOVsUuUVRkAt47BIPjxeRM5XtfC39ce8rxNjVoePbr/gg9gSBkHyfn8NP8Yp4ztFlQHKKHz5c64zmJTzcv3vaOicubcAnNuGtD4eqTwPCjfAXXHet/WjyzOT2Hz0Zoe+xvsKW0IWvy9Cy34qJj2vJRoNh4ZvH6e3nhi3RHGpkT3Wt2zV0q3Qexo36sM+orB6Gx2vgOevVTFTH/4WxWjv+dNKN7ksRdqbnJ0x4RelqeyCh2x98PUnePCnAQZcwIi+KDcBxdMG81f1xzg3tW7sHfpc2xuPEIDsWpcA6VwGWFH18GWpz3+j1NjfLTwm22qefnuNyA6Dc4bxNzLwvPV3wC7dRbnp9DWLvnCg47UNNsob2gN6oQtaMHv4Pypo/j0QCUVDb778Ztb7QP2+391rJatxXWsWJDrvbCYL/h7wtadaVfB7BtVmOa+/8Anf4S3vg+rrofHl8KDM6GxrNMurv620ENI5nCMve+J8Uvh+JeqHkwAeODqGdyyKI+nPivipqc2UW85me2a0HKM8vBM/5xo9k2qvs6b34H78+G5K9T/zaryAVJjI2iw2nut6FlnaSPBHK6uUcbsvtfK6Qsp49UdaYDDM+fmJhERZuDT/d3dOnucE7Za8IcIl8/KxCFVWWJf+eEr27nwwXXY7P0PAXtyfRGxkWFcMXuAX1CbBar2DZ7gG01w0QNwxzr4wQH4eRXctRdu+xguf1wJQJes3Dxvgl9/fPjG3nti/FJAwuGPAnK6MKOBn184if+9fBobDldzycPrOkr0preVUBflWy5HrySPgzs3w21rYf63VM35178JfxwPLy6nsF3NF/Rm5dc02xgVYVcT9GMC0IS+cBkUrQNr4Ny0kSYj8/KS+NTDxO1JwQ9u2ZAQ+Kb5h7GpMczJSeSVLSX4EjFaUmvhnZ2lVDS28uHe/lXoK6u38vaOUq6ek0V0H0IxPVK+S8Wy+zNCxxvGMIgbrb68U6+ACReoWihuWbmu+j6JZlP3UNPPHwKEaqAeCoyZocoRBMit4+KquVm8+I1TaWq1c9nD6/l45xHSqaaljzH4XhFCvb+zfwX/vR1u/QDmfgOObWDBjp8DUNnUs+CrwmltFHIYkAES/PNVIbYD7w3+udxYnJ/CgYomyuo73/nvLm0gLTaC5JjglFRwoQXfjStmZ3KwoomtxXW9bvvcBjUhlGg28fLm/jULeXZDEQ4pWTGQUEwX/iqp0F/mf0s1Xdn2YseiMfFRhIcZulv3jeWw+QlVhjkxN7DjHCwMRtXc/OAHAU36AZiTm8Qbdy4iK8nMX55XKTD9icH3CSEgcw4s+x3M/xbRDQeJp8mrhd9sa8fW7mCsTd0NBETwM+epz9anf+5TOPFAWTRezcN1tfJdJRWCjRZ8Ny6YNppIk4GXt5R43c7a1s7KTcc4Z9IorpmXzUf7Kijvg+/fdYwXvjjG0onpvvV57Y3SbcrCjPeT77avZM9XX+QNj3QInsEgmJoR31GvqIPP/wbttoGn0g81xi+F5go49lnAT52REMUr35zPd9J3YJNGwvOXDP5Js04BYKbhgNdsW1dZhcyWPRCfpTqrDTbGMFh6L1TsUqG/AWLCqFhSYiJYd/CkH99md3CwopEJvrpzdr6mHoOQm6oF343YSBPnTRnNm9tOeJ2EWr31BHWWNlYsyOWqOVnK9/+l775/gNe/Ok6tpY2bF/np1rt0mwrHDFYRUiFg/p2q4qFbt6Rnb5nHvRe7VcturlKun6lXDs/MWm9Mulhl3a65NygNtc1GONP+Ca15Szl1cvckKb+TMQspjMwxHPBq4bvKKqQ07FauoUAx6VL1o/Thb6A1MG1MDQbBovHJrDtwsszC4aom2tqlbyGZTRXw7+/Bxn9qwQ8EV87OpNFq72gf2BUpJU99VkRheiynjk0iLyWaeblJvLy52Cffv+sYT64vYuLoOE7J8yF0rr4E/nFaz4lPdhtU7AmeO8fFpEtU1M3nD3csMoeHnazzA8p339YCi+8OwgAHmfBoOOvnqvPSrtcCf/4jHyOayomdd31gqjGGRyNGT+MU08FeBL+NOJowNx2FMbMGf1wuhIBzfqt65K5/IGCnXZyfSnWzraOUQp8idN75kar4edEDgxLMoAW/C6eOTVa3xz24dTYfrWV3aQMrFuR2fKmunJPJ4apmNh+t9ekcnx+qZl95IzctzPXti/nR75UF/+o3OqoXdqJyr3KRBFvwjSY45XYo+hRObO2+3lKjLJcpX4PU/qX9D3mmL4f0qfD+vSqxLJBsWwWRCX3rBztQsk5hqjxATUPPFnRts42pBmd9/kD4793JmqsqcX72NxUZFgAW56syCy63zp7SRsLDDIxN6aVe0L7/KEPhtB8O2vdDC34XDAbB5bMzWXewymNDg6c+KyIuMoxLZ54sWHb+1NFEhxt5aZNvk7dPrC8iOTqci32pilm5D7a9ADOuU82aX1wONUc6b9NREjnIgg8we4UqUetm5Xew4RHVIeq0HwR+XIHCYIRzfwP1x+CL/wvceVubYO+/YfJlqmpkoMiaRyStRNf1XLa51mJjmnAJ/ozAjMudpfeqCLYPfxOQ06XFRVKYHtsxcbuntIGC9BjCjF7ktrUR3rpL9RNe+N1BG5sWfA9cMSsTKeFfXWLyy+qt/GdnGVfPzerUfjA6IowLp43hrR2lNLV6L6BVVNXMB3vLue6UbI+1Sbrx4a9Vn9ezfwXXvaxaz71wlapV3jGw7Upkk8b26X0OCpHxMOsGZam4W1QttfDFP5TbJ21i8MYXCMYugYLzVIRIPxvB95k9bypXwLSrA3M+F1mnApDZtKPHTWqbbUwzHEYm5kFUYqBGdpLEHDj1DhVB5unOcxBYnJ/CpqJaWmzt7CltYGJvFTI/+JXqC3Hx3yDMS9/fAaIF3wPZyWZOyevul3/+i6M4pOTrp+Z22+equZlYbO28vb3nRhht7Q7ufnkbUSYj15+a0/tAjm9RX+QF34boFEjJh2ueVxb+SzecrFFfuk3F3w+VBKZTblcW1cZHTy774h+qZWIoW/funP0rsDXDx7/3vt3xL+HhU5TbbiDhnNtXQkKO6mEQSOIzaAhPp8C2u8c5rFpLG9ONRxAZAfTfd2Xx91Wpifd+FpAJ9UX5KdjsDt7aUUpVk827/754o3J1nnK7CnkdRIaIQgw9rpidSVG1hS1Ov3yrvZ0XNx7jrAlpJ9sJujErO5GxqdG85CUm//dv72Xz0Vruu3waac5+oF5Z8z9gTlYx7i5yFykr4Mgnajbf0a6qZPq7YNpASMxVzci3PKlcDdYG5c6ZcKF/OnENB1ILYO4tsOUpqOjB3bHn3/Dk+WpSfu198MpN/WonScMJOLxWWfdBiNKqSpzBTLGfOrfyDu7YGioYQ2Xg/ffuRMbDkh+r+aUAVNI8JS+ZcKOBf36iCgP3KPh2m6pNFZ+pWjwOMlrwe+D8qaMxhxt5ebOavH1ru/qlvnGB5zBKIQRXz8li89HajhR3d/69/QRPrD/CjQtyffPdH/oIjqxV0SwRXeJ3ZyyH038EW59TH5Y2S/AnbLsy/05VbmHr88rSt9aPHOvexen3KFfb+z/vvFxKNcex6npInwTf+QrO+Y2KwnryPCXgfWHHy4BUiWxBwJI+mwxRTW3ZEY/rk+t3qSfBFHxQtaCS89X/o93zj5O/iAo3Mic3kX3ljYCXkgrr/qKCLi74c/fv+SCgBb8HoiPCOH/qaN7aUYrFZufpz4oYnxbDwvGey8QCXDYrA6NB8PKWzlb+wYpGfvjKdmbnJPKT833wX0upfHpxmTDnZs/bLPmximV3JZUMNcHPmquyHT9/SD0KlgVnwi6YRCfDaXer9P5DH6pl7XZ4+2549yeq7PSKf6vqpgu+DctXqjyGf54JJ/rQsWnbKlWtM0h5DdKZgNV25HOP60c178GBCP5n1GiCc36trvHmJwf9dK7m5qPjI1XhuK5U7oNP74cpVwyseXsf0ILvhStnZ9LUaue+d/ayraSeFfNzvIZRpsVGckZhGq9uOU6bs2RtU6ud25/dgjncyMPXzvKt+cGeN1UzjTN+DKYeXD9CwMUPqQzXiDhIGYJhjgvuVDXJW2pVqNlI5JTblW/93Z+dbOu36TEViXHl0xDu5h4sXAa3vAcGEzxxHux6vffjl+1Q2aRBsu4BorOmY5ERGE9s8rg+z7aPyojsgFiwvVKwTDU7/+i3sP2lQS2D4QrP9OjOcThg9XdU7say+wZtDF3Rgu+FeXlJZCeZeebzo8RGhPG1Wb2XLbhqTiZVTa2s3VeJlJIfvbKdI1XNPLh8JqPiffDbt9tVZE5KAUzr5UtsioSv/wtuXzu45Wb7y4QLIXk85J8LmbODPZrgEBYBZ/+PEuW/zVaW/oV/VZO6nibZ0yfDNz5UczIvr4C1f/Q+ybhtJRjCVKx5kEhNiGGbYxxxld07fkkpKWw/REXMJA97BgEh1PVPyILXvqESGg+8PygTuZNGxzFpdBxLCj2Uktj5KhRvgHN/F5hSE04GJPhCiCQhxPtCiAPOv91iroQQM4QQnwshdgkhtgshAhw31n+EEB1li6+Yk+lTRcszJqSREhPOS5uLeWJ9EW/tKOWHyyawYFyKbyfdvlKVkD3z56oeSG+YooZGOKYnDEYlXlc9HeyRBJdJl0L2ArC3qtDa3jo9xaTCDavVD/5Hv1HC5CmJy9EOO15RfVyje3Y1DjYxEWFsFYWkNO5TkUluWGtKSBO11CdOCdLoPJAyHm77RJX1tjXC81fAUxeqRj5+xGAQvP3dxdwwP7f7yi/+royh3ow6PzPAmrzcA3wgpbxPCHGP8/WPumxjAW6QUh4QQowBtggh3pVS1g3w3AHhmnlZ7Dhez62LfRNVk9HA12Zl8vi6I3y4t4JzJqVz+2k+CnKbVYXnjZml/LuhQGR879uEOkIoobe3+i7Mpki47O8q2ueDX0FtEVzzQuduZoc/hqaywMfed0EIwZGoyRha/6XCTPMWd6yzFG0mCmhJHUJRZKDurqZeoaLJvnwa1v5BNfKZcKHqUdxUoUoyNJarv00VKqz4qmdg7OkDO/fxL+H4Zlj2h4CHUg/0bJcALvPtaeDSrhtIKfdLKQ84n58AKoDA3cMMkLTYSP55wxwyEnpowu2Bq+Zk0u6QZCWZuf+q6b7XNdn8BDSUwNJfBq8ImmZwiIjpuxXuaiB/1TNQtlNN5pbtPLl++yqIiFd+6SBTHucU9OIvOi1vL/kSuzQM3XDcsHCY9w34zlY442cqvPXf31P5E7vfgNojau4hZ4H6+9Zd6od7IGx6DEzRKtouwAzUwk+XUroyjcqAdG8bCyHmAeGAx+7LQojbgNsAsrP91LEnCIxPi+X/rpvFlIx44iJ99K07HCpWPXexytTUaFxMugQSslVZjSfOhcsfU5+TPW+qSK2eJvYDSFRcCkers8jpUusprGwrB2Qm8XFD/E4vIgZO/4HKyLXWq767XTNeD7yv3D+fPwyL7+rfeZqrlRtu5vVBufvt1cIXQqwRQuz08LjEfTup0ux6nPkQQowGngVuklJ6nBqXUj4qpZwjpZyTmjqAm4CKvUEpT+vOeVNH963O/bHPoL4YZq0YvEFphi9jZqr5kGTVWpBXblb5F0GMznEnLS6CLY4CZeG7Il+kJLp6B9scY0mKHoJBBZ6IiFVJUJ7KG+SfDYUXqH7O/S3E9tUz0N6q7iqCQK+CL6VcKqWc4uHxBlDuFHKXoHvs9SeEiAPeAn4qpdzgzzfQjaqDaub91VsDVgPbL2xbqZJ0JlwQ7JFohipxY+Cmd9T8zoF3ldWfFeBSCj2QGhPB523jwFoH1c7OVnXHiLDVskOOJdFTHPpwZNnvVdmQ937a930d7bDpCXV3FqR6UgP14a8GXCbpCqBbwXYhRDjwL+AZKeUrAzxf7ySNhSU/UsW7HluqfgCGOm0tyl848eLOcdkaTVfCzSp+/7w/wgV/GTL1k1JjnRY+nPTjO5PHtjvGEh81TCz83kjMgUV3wa5/qUnzvrD/XVVFNUjWPQxc8O8DzhZCHACWOl8jhJgjhHjMuc1VwGnAjUKIrc7HjAGet2cMBjXRdf1rqt3co0uUr3Mos+8dFQEwfdhErGqCicEAp9wG+UuDPZIOUmMjOCxHY49IhGMnBd8uwiiNGOu9NPBwY+F3VDLd2z88WcDQFzY+CnEZyi0UJAb0X5BSVkspz5JS5jtdPzXO5ZullLc6nz8npTRJKWe4Pbb6YezeGXcG3LZWVZhcdT28/0uV1DQU2b4KYseoWz2NZhiSFhsJCGqSZrhZ+F9yPGIcMdEhdtdqioLz/gBV+2DjP3zbp+oAHP5I5WD4kl8zSITQz64HErLg5v+oejTr/wrPXhq4+uS+0lwFB9fAtCtVopJGMwxJjVVNV47HTlM+/OYqOLGNg8Z8EqNDxH/vTuF5KoP84/ugoeeS6B1sekyVzAhyUEZoCz6o1PYL/wKX/p/qNfrokoC1OvOJna+qpiYBzrjTaPxJckw4QsDBCGcJhe2roLWenYTQhG1XzrtPVd3sWg21K62NsPUF1Y3MPXEuCIS+4LuYca2y9q318MLVQyeCZ9tKlZSSPkRqjWg0/cBkNJBkDmcH41Vtny+Uq2NLW17oCn7SWFUEb8fLULSu5+22r1JzdPNuC9zYemDkCD6oWOarnoKK3fDqLSpMKphUHVBVMbV1rwkBUmMjKG1GlUGuOwphkXzZkk6iOUQidDyx6HsQnw2v3aYapTeWd14vJWx8DEbPGPRuVr4wsgQfYPxSOP9/Yf9/VLuzYLJtJQhnTQ+NZpiTGhtBZWMrOOvjO9Kn0tRGaPrwXYSb4YrHIXaU0pM/T4Tnr4Sdr6naWEXroHKPsu6HQLmU4E0XB5O5t0L1IVXKIGlscOJiHQ5Vj3vsGerDotEMc1JjIzhc2awEf8MjqmDaIULXpeMia57Kgq7cpxqlb1sFB25SpROiklTj9inBK1/tzsiz8F2c8xtVdOqdH8GBNX3f3+FQjYf/8xM1L9BXjn2ukjCCXOlQo/EXLgtf5iyA8FiqR6kw42FTVmGgpBbC0nvheztVn4r8c6GxDE65Q4VyDgFGpoUPKgTy8sfhyWXw8o2q05CvE6eNZfD6f8GhD9Tr3W/AJQ+p2H9f2b5SVcybeGGfh67RDEVSYyKwtTtoMCQSf89Rig/XAl94bu8XyhiMMO5M9XC0K7ftEGHojCQYRMTA8lWqzdgLVykh7429b8P/LYCjn8EFf4JbP1B+vGcvhX/f5Vv0T5sVdr2haqKERw/4bWg0Q4G0OFW1s7LJCgYjtRaVhZoUyj783jAYh4Tv3sXIFnyA+Ay4diVYquGv0+DFa9Vkaktd5+1sFlUne+VyVcTq9rVqLiBzDtz+Ccy/U9Wz//tCKFrv/Zz734HWel1KQRNSpMao5KuKBlUvvrZZCX5CKEfpDDNGrkvHnTEz4Zb34avnYM9q2PeWyoobu0TVIk/MVWJffQAWfAfO/JlK6HJhioJzf6u65bz+TXjqAjj1m8p3F5/VvcDVtlUQOxryBtg5R6MZQriybSubnIJvaQNGwKTtMEILvotRU1Tm3Lm/g+NbYM8byje/+k61PnYM3PCG9+YkOfPhm+tV3Z4Nj6hHWCQkjVN9NJPzVbW9g++rHwRdSkETQnQIfqMS/JpmG7ERYZhCqXDaMEcLflcMBsiaqx5n/xpKt6nkqEmXgjmp9/3Do+GC+2H2CvXDUXUAqg+q1nR7/g3Smew1PfDtzTSawSQuMoyIMAMVTsGvs9hCOwZ/GKIF3xtCwJgZ6tFXRk3t3sfTblPNqO0tkD7ZDwPUaIYOQoiTyVdAjaVNC/4QQwt+IAkLh9SCYI9Coxk03AW/zmIb2RE6QxDtXNNoNH4jzd3Cb7aRpCdshxRa8DUajd9IjY2gotEKqLDMEZd0NcQZkOALIZKEEO8LIQ44/yZ62TZOCFEihHhoIOfUaDRDl9SYSGotbTS32mm2tY+csgrDhIFa+PcAH0gp84EPnK974tfAJwM8n0ajGcKkxanQzAMVKuNcW/hDi4EK/iXA087nTwOXetpICDEbSAfeG+D5NBrNEMaVbbu/rBEY4WUVhiADFfx0KaWroWMZStQ7IYQwAH8C7h7guTQazRDHlXy1r1wJvi6rMLToNSxTCLEG8FSw/afuL6SUUgghPWz3X8DbUsoS0UsRISHEbcBtANnZ2b0NTaPRDDFcgr+/XFv4Q5FeBV9KubSndUKIciHEaCllqRBiNFDhYbP5wGIhxH8BMUC4EKJJStnN3y+lfBR4FGDOnDmefjw0Gs0QJiWms+DrOjpDi4EmXq0GVgD3Of++0XUDKeV1rudCiBuBOZ7EXqPRDH/Cwwwkmk2UOytmapfO0GKgPvz7gLOFEAeApc7XCCHmCCEeG+jgNBrN8MPl1okONxIRpgsEDiUGZOFLKauBszws3wzc6mH5U8BTAzmnRqMZ2qTFRrK/vEnX0RmC6ExbjUbjV1wWvvbfDz204Gs0Gr/SIfjawh9yaMHXaDR+Ja3DwtcTtkMNLfgajcavaJfO0EULvkaj8Suu8go66WrooQVfo9H4lVTt0hmyaMHXaDR+ZWxqDN86YxxnT/JUkUUTTHSLQ41G41eMBsEPzp0Q7GFoPKAtfI1GoxkhaMHXaDSaEYIWfI1GoxkhaMHXaDSaEYIWfI1GoxkhaMHXaDSaEYIWfI1GoxkhaMHXaDSaEYKQcmi2jhVCVAJHgz0ON1KAqmAPYgigr4NCXweFvg6KoXQdcqSUqZ5WDFnBH2oIITZLKecEexzBRl8Hhb4OCn0dFMPlOmiXjkaj0YwQtOBrNBrNCEELvu88GuwBDBH0dVDo66DQ10ExLK6D9uFrNBrNCEFb+BqNRjNC0IKv0Wg0IwQt+F4QQvxRCLFXCLFdCPEvIUSC27ofCyEOCiH2CSHODeIwBx0hxJVCiF1CCIcQYk6XdSPmOgAIIZY53+tBIcQ9wR5PIBFCPCGEqBBC7HRbliSEeF8IccD5NzGYYwwEQogsIcRHQojdzu/Fd53Lh/y10ILvnfeBKVLKacB+4McAQohJwDXAZGAZ8IgQwhi0UQ4+O4GvAZ+4Lxxp18H53h4GzgMmAcud12Ck8BTq/+zOPcAHUsp84APn61DHDnxfSjkJOBX4lvNzMOSvhRZ8L0gp35NS2p0vNwCZzueXACullK1SyiPAQWBeMMYYCKSUe6SU+zysGlHXAfXeDkopD0spbcBK1DUYEUgpPwFquiy+BHja+fxp4NJAjikYSClLpZRfOp83AnuADIbBtdCC7zs3A+84n2cAxW7rSpzLRhoj7TqMtPfrC+lSylLn8zIgPZiDCTRCiFxgJvAFw+BajPgm5kKINcAoD6t+KqV8w7nNT1G3cc8HcmyBxJfroNF4Q0ophRAjJs5bCBEDvAr8t5SyQQjRsW6oXosRL/hSyqXe1gshbgQuBM6SJ5MWjgNZbptlOpcNW3q7Dj0QctehF0ba+/WFciHEaCllqRBiNFAR7AEFAiGECSX2z0spX3MuHvLXQrt0vCCEWAb8ELhYSmlxW7UauEYIESGEyAPygY3BGGOQGWnXYROQL4TIE0KEoyasVwd5TMFmNbDC+XwFEPJ3g0KZ8o8De6SUf3ZbNeSvhc609YIQ4iAQAVQ7F22QUt7hXPdTlF/fjrqle8fzUYY/QojLgL8BqUAdsFVKea5z3Yi5DgBCiPOBvwJG4Akp5W+DO6LAIYR4EViCKgVcDvwSeB14CchGlTO/SkrZdWI3pBBCLAI+BXYADufin6D8+EP6WmjB12g0mhGCduloNBrNCEELvkaj0YwQtOBrNBrNCEELvkaj0YwQtOBrNBrNCEELvkaj0YwQtOBrNBrNCOH/AQq86XgUQJWRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True TDOA (in samples): -1.9852016265202852\n",
      "GCC-PHAT estimate: -1.0\n",
      "NGCC-PHAT estimate: -2.0\n"
     ]
    }
   ],
   "source": [
    "gcc_delays = []\n",
    "ngcc_delays = []\n",
    "for i, pairs in enumerate([[0, 1], [0, 2], [1, 2]]):\n",
    "    \n",
    "    x1 = x[pairs[0]].unsqueeze(0)\n",
    "    x2 = x[pairs[1]].unsqueeze(0)\n",
    "    cc = gcc(x1, x2).squeeze()\n",
    "    cc = cc / torch.max(cc)\n",
    "    p = ngcc(x1, x2).squeeze()\n",
    "    p = p.detach()\n",
    "    p = p / torch.max(p)\n",
    "\n",
    "    inds = range(-max_tau, max_tau+1)\n",
    "    plt.figure()\n",
    "    plt.plot(inds, cc, label='gcc-phat')\n",
    "    plt.plot(inds, p, label='ngcc-phat')\n",
    "    plt.legend()\n",
    "\n",
    "    shift_gcc = float(torch.argmax(cc, dim=-1)) - max_tau\n",
    "    shift_ngcc = float(torch.argmax(p, dim=-1)) - max_tau\n",
    "    \n",
    "    gcc_delays.append(shift_gcc)\n",
    "    ngcc_delays.append(shift_ngcc)\n",
    "\n",
    "    plt.scatter(shift_gcc, 1.0, marker='*')\n",
    "    plt.scatter(shift_ngcc, 1.0, marker='*')\n",
    "    plt.title(\"Correlation between mic \" + str(pairs[0]) + \" and \" + str(pairs[1]))\n",
    "    plt.show()\n",
    "\n",
    "    print(\"True TDOA (in samples): \" + str(delays[i]))\n",
    "    print(\"GCC-PHAT estimate: \" + str(shift_gcc))\n",
    "    print(\"NGCC-PHAT estimate: \" + str(shift_ngcc))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "487950f9-d67e-4f7f-9f45-c139a875ab70",
   "metadata": {},
   "source": [
    "### Find the source position using multilateration\n",
    "\n",
    "Now that we have estimated the TDOAs, we can estimate the sound source position using multilateration. Since we have put the source at the same height as the microphones, we can do this in 2D by solving for the $(x,y)$-coordinates.\n",
    "\n",
    "Let $\\mathbf{x} \\in \\mathbb{R}^2$ denote the unknown source coordinates, $\\mathbf{m}_0, \\mathbf{m}_1, \\mathbf{m}_2 \\in \\mathbb{R}^2$ the microphone coordinates and $\\tau_{ij}$ be the ground truth delays. The following then holds:\n",
    "\n",
    "$||\\mathbf{x} - \\mathbf{m}_i|| - ||\\mathbf{x} - \\mathbf{m}_j|| = c\\tau_{ij}$\n",
    "\n",
    "where $c$ is the speed of sound. Given our measurements, we can find an approximate solution by minimizing the squared error over all measurements\n",
    "\n",
    "$\\hat{\\mathbf{x}} = \\text{arg min}_\\mathbf{x} \\sum_{i,j} (||\\mathbf{x} - \\mathbf{m}_0|| - ||\\mathbf{x} - \\mathbf{m}_i|| -\\tau_{ij} )^2 $ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "af22602b-a28a-4223-bd73-9301d3b1352b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Grount truth position: [0.6 1.2]\n",
      "GCC estimate: [0.86870156 1.04751231]\n",
      "NGCC estimate: [0.64771617 1.18440341]\n"
     ]
    }
   ],
   "source": [
    "# Compute the source location using multilateration\n",
    "\n",
    "def loss(x, mic_locs, tdoas):\n",
    "    return sum([(np.linalg.norm(x - mic_locs[:, pairs[0]]) - \\\n",
    "                   np.linalg.norm(x - mic_locs[:, pairs[1]]) - \\\n",
    "                   tdoas[i] / fs * room.c) ** 2 for i, pairs in enumerate([[0, 1], [0, 2], [1, 2]])])\n",
    "\n",
    "guess = [0, 0]\n",
    "bounds = ((0, room_dim[0]), (0, room_dim[1]))\n",
    "xhat_gcc = minimize(loss, guess, args=(mic_locs[:2], gcc_delays), bounds=bounds).x\n",
    "xhat_ngcc = minimize(loss, guess, args=(mic_locs[:2], ngcc_delays), bounds=bounds).x\n",
    "\n",
    "print(\"Grount truth position: \" + str(source_loc[:2]))\n",
    "print(\"GCC estimate: \" + str(xhat_gcc))\n",
    "print(\"NGCC estimate: \" + str(xhat_ngcc))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aeef4141-0f2b-45f6-b8c8-b0487acff583",
   "metadata": {},
   "source": [
    "We can also visualize the solution as intersection between hyperbolas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "056c8021-843e-485f-a677-8fda201b36b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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J5detW5cNGzYQGRlJWFgYP/zwQ6Ltzp8/z/PPP8+4cePw9vbm6tWr1KlTh+XmYxRnzpzhypUrlClThqJFi3LkyBHi4+O5evUqBw4cSHSZL730EmvWrCEoKAjgUZdO48aNmTVr1qN2R44cseAvlXqyhy+SLV8JH25cvG10GcII6TA/8vHjx/8zZbCLiwsLFy6kdevWxMbGUr16dXr37g3A6NGj6d69OyNHjrRoTpwqVarQtm1b/Pz8yJMnD9WrV0+03ZAhQzh79ixaaxo2bIifnx9ly5bl3XffxdfXFwcHBxYtWoSzszO1a9emWLFilC9fnnLlylGlSpVEl1mhQgVGjBhBvXr1sLe3p3LlyixatIiZM2fSp08fKlWqRGxsLHXr1mXevHkp/htaSqZHFsn2WccZ/LP3NEsvfGl0KSINJHd6ZKufH9mKpPX0yNKlI5ItX7G83L5yh5joGKNLEUbo0AEuXYL4eNNvCXurIYEvki1fibzEx2tuXb5jdClCiGSQwBfJlq+4aaTOjQsyiZqtMKprVzxdenwmEvgi2R4OzZR58W2Di4sLQUFBEvqZiNaaoKCgNB+2KaN0RLLlypcTJxdH2cO3EQULFiQgIIDAwECjSxEJuLi4ULBgwTRdpgS+SDY7Ozt8iuXhhsyaaRMcHR0pVqyY0WWIDCBdOiJF8pfw4cYFGYsvhDVJMvCVUoWUUtuVUv8opU4opQYk0kYppWYqpc4ppY4ppRI/C0HYDJ9iebh+/qb0+wphRSzZw48FBmmtywM1gT5KqfJPtHkFKGX+6QnMTdMqRaaTv4QPUREPCA4MNboUIYSFkgx8rfUNrfVh8+0w4CRQ4IlmzYEl2uQPIIdSKl+aVysyDRmaKYT1SVYfvlKqKFAZ2P/EUwWAqwnuB/DfjQJKqZ5KqYNKqYMyIsC65ZOhmUJYHYsDXymVDVgHDNRap+h7vNb6a611Na11NW9v75QsQmQS+YrlAWQPXwhrYlHgK6UcMYX9cq31+kSaXAMKJbhf0PyYsFFOLk54FcglFzQXwopYMkpHAQuAk1rraU9pthHobB6tUxMI0VrLhOk2Ll+JvNyUoZlCWA1LTryqDXQCjiuljpgfGw4UBtBazwM2A68C54D7QNc0r1RkOvmK5+XQlqNGlyGEsFCSga+13gOoJNpooE9aFSWsQ75ieQm6fo8HkQ9wdnVO+gVCCEPJmbYixR5OonZTrn4lhFWQwBcp5lNcAl8IayKBL1Ls4clX12UsvhBWQQJfpFgOb09cs7nIWHwhrIQEvkgxpRT5iueVwBfCSkjgi1TJV9w0a6YQIvOTwBep4lMsLzcv3pZpkoWwAhL4IlV8iuUhOiqGe7eCjS5FCJEECXyRKnmLmCbBu3X5jsGVCCGSIoEvUsWnqDnwL8lYfCEyOwl8kSp5ZA9fCKshgS9Sxd3TDY+c7rKHL4QVkMAXqZa3aB5uXZErmAmR2Ungi1TLW8SLW5ck8IXI7CTwRarlKezNrcuBMhZfiExOAl+kWt4i3kRFPCDsbrjRpQghnkECX6TavyN1pFtHiMxMAl+kWt4iXgDcviJDM4XIzCTwRarlKWwKfNnDFyJzk8AXqZbdyxNnVyfZwxcik5PAF6mmlMK7UG5uy1h8ITI1CXyRJvIU9iLwapDRZQghnkECX6SJPIW8pEtHiExOAl+kCe9CXty7FUJMdIzRpQghnkICX6QJ70K50Vpz59pdo0sRQjyFBL5IE96FTEMz7wRI4AuRWRkW+BEh9wkMkIN8tsK7YC4A+UyFyMQMC/ybl27TpVQ/vhq8hJA7oUaVIdKIV8HcANyRwBci0zIs8AuXLUD9drVY/8WPdC7Rl+WfrCMyPNKockQquXu64ebhKn34QmRihgW+o7MjQxf25etjU6ncsCKLRq2kc8l+/G/mZqIfyEgPa5S7QC7uXJfAFyKzMvygbZHyhRizfigz9k6gaIWCfDlwIV3L9Gfrkp3ExcUZXZ5Ihtz5cxJ0/Z7RZQghnsLwwH+ofM3STNo2mom/fEx2b08m+c+m93ND2PO//XJhDSuRO39OgqRLR4hMK9MEPpjmZKnayI/Z+z9jxIqBxMbEMrblFPrXGsHRHSeMLk8kIbdPTu7euCcbaCEyqUwV+A/Z2dlRv21tvvl7Oh/M782dgCAGvzSGj175hDOHzhtdnniKXPlyEhMdS9g9ufKVEJlRkoGvlPpWKXVbKfX3U56vr5QKUUodMf+MSqvi7B3seaV7QxadmUnPSZ04c/ACfaoPY3zbaVw9fS2t3kakkZx5swNw71aIwZUIIRJjyR7+IqBpEm12a62fM/+MS31Zj3N2dab14GYsOT+bjiNbcWDzYXpU/IDpPedx55qM+84scvrkAODezWBD6xBCJC7JwNda7wIyxZE4d083uoxty5Jzs2n2bhO2LN5Bl1L9mD90KaF3w4wuL8vLkce0hx8SKCfSCZEZpVUf/gtKqaNKqZ+UUhWe1kgp1VMpdVApdTAwMOUXy8iZNwd9ZnZj4emZ1GtTizVTf6Bzib6s/HwDUfcfpHi5InU8c3sAEHpX+vCFyIzSIvAPA0W01n7ALGDD0xpqrb/WWlfTWlfz9vZO9Rv7FM3D0EV9+erIZCq+WJYFHy2nS6l+/DBvC7Exsalevkgej1zZAAgNkm9bQmRGqQ58rXWo1jrcfHsz4KiU8krqdREh97l4/HKaDOEr5luET374iGk7x5GveB5mvjefHhU/YNfafTJEMAM5OTvi7OpERHCE0aUIIRKR6sBXSvkopZT5dg3zMpM8knrrciA9/QbTo+L7LB27Jk1G3fjWKcf0XeMZ9/2HODjaM77NNPo+/xGHth5N9bKFZdxzuBN2TwJfiMzIkmGZK4B9QBmlVIBSqrtSqrdSqre5SSvgb6XUUWAm0E5bsFtdpHxB+s/pQY482Vk6bg3dyg2kd5UhrJr0Pbcup7x/XynFC29U46ujUxj87XuEBIYyrMknfNh4HOf+upji5QrLuHm4yCR4QmRSyqguj2rVqumDBw8CcOf6XXat3sf2Vb9zav9ZAMq/UJr6bWtTt/UL5M6XM8XvE/0ghh/nbWH5J+sIDQqjXpsX8B/XjoKl86fJeojHvVf9Q3Lkyc6nm4YbXYoQNkkpdUhrXS1Fr80MgZ/QjQu32L7yd3au3suFY5dRSuFXvzwN2r3Ii289/2gkSHJFhESwevJG1s/YRHRUDK+98zKdRrcmZ94cqVwTkdAH9UZhZ2/HlN/GGF2KEDbJpgI/ocsnA9ix8nd2rPqdgDM3sHewp2rjStRvW5tazavj7umW7Pe9e/Mey8avY/P8bTg6O9By4Ou0HtIsRcsS/zWs6SdEhNxn1r5PjS5FCJtks4H/kNaac39dNIX/6r3cvnIHR2dHarxamQbtXqTm61VwdnVO1vsHnL3B4lEr2bFqL9m9PHh7REte790YJ2fHlKyOMBvZbCJB1+/y5cFJRpcihE2y+cBPKD4+nlP7z7J9xe/sXLOXe7dCcPNw5YXm1ajfpjZVG1fC0cny0D5z6DwLPlrO4W3H8SnqTddP2lO/XW3s7DLlvHKZ3pi3JnHjwm2+OjLF6FKEsElZKvATiouL4+iOf9j+3W5+33CAsHsReOR058W3atKgfW0q1SuPvb29Rcs6tPUo8z9cxvkjlyjxXFF6TOxI1UaVMI84FRaSwBcifWXZwE8oJjqGw1uPsX3V7+zd8CeR4VHkypeT+m1qUa/NC5SrWTrJ8I6Pj2f7it9ZNHIFNy8FUqVRJXpO6kQJv6JpVqetG9lsIneu3WXuIenSESI9SOA/4UHkA/ZvOsxvK/ZwYNNhYqJjyVvEm3ptatGgfW1K+BV9ZvhHP4jhhy9/YfknawkPvs9Lb79Il3FtyVcsb7rUa0vkoK0Q6UsC/xkiQiLY+/1Bdqz+nUNbjhEXG0ehsgVo+HYd6rWtRcFS+Z762rB74az6fAP/m7kZHa95s98rtB/+Fh45s6V73daqf63huGZz4fMtaXZZBCFEAhL4FgoNCmP3uj/49bvdHN91EoCSlYtRv21tGrSrRZ7CiU/odudaEItGrmLL4h1ky+FG2w9b8Ga/pskeGZQVdCs/kKIVCzFq9SCjSxHCJkngp8Dtq3fYtWYfO1fv5dSBcwBUqF2Ghm/XoW7rF8ju5fmf15w/eokFw7/jz5/+Ik9hL7p/+raM6HlC8+ydaexfnz4zuhldihA2SQI/la6fv8mOVXvZvmIPl05cxc7ejiov+1KvTW3qvFUD9+zuj7U/sv1vvhq8hHN/XaRU1eL0+KwDVV6uZFD1mUfo3TBaenXjnc870mZIc6PLEcImSeCnEa01549eYueqvexYvZebF2/j6ORgOsGrfR1eeKMqTi5OgGlEz6/Ld7N41CpuXQ6kxquV6TmpE0XKFzJ4LYxzeNsxPmw8nom/fEzVRn5GlyOETZLATwdaa07/eY7tK0xn9969cQ83T1dqv1mDem1qUbVRJRwcHYiOimbDrJ/47tP1RIZH0bRrAzqPbZuqCd+s1XefrmfhxytYd+dbPHOlbM4jIcSzSeCns4cneP223HSCV3hwBJ65PajT0nSCl2+dcoTdDWfZ+LX8OG8LDk4OtB36Jq0GvYGLm20d2F2+HEaMgCtXoHBhmDABOnQwPdenxjAA5hyYaGCFQtg2qwz84gVK6KFtR5IjT3aye3s++p3T/Ns1m0umPMs1+kEMh7YcZfvKPez7/iBR9x/gXSg3Ddq9SIN2tXHJ5sy3w79j97r9eBXIhf/4djTqXM8mDuwuXw49e8L9+/8+5uYGX38Ndapeo3v5gfSc3JnWg94wrkghbJxVBr6PZwFdXTcgKiLxi447uTiaNgQJNgY5vLMn2DB4kt3b89HGwtXdJYPXACLDI9m38SDblu/m8FbTGP+CpfPxUvs6FCydj/UzNnHqwDlKVi5G76ld8Kv/1Ou7W4WiReHy5f8+XqSw5u0Kn/L3nlMsOjOTXD5ZrztLiIxilYH/sEsn6v4Dgm+HEBIYSnBg6KPbIYGh3AsMIfi26Xbw7RCCb4cQHRWT6PKcXZ0SfFswbQRyeHni6eX5aMPh6eVBDvNGws3DNU2/QYQGhbFn/X5+W7GHYzv/QWtN6WolKFyuAId/Pc7d6/eo3aIGvSZ3Jl9x6zxj184OEvvn4qN2U5GZvPdFV1r0fzXjCxMiC7HqwE8OrTVREVEEBz7cCPy7kQi+HULIHfOG4lbIow1HTHRsostydHLA08vD9C3BvFHInjvB/UfPmX575vbAwdHBojoDA4LYsWovvy7fxfkjl7CzU+Qt6k1gwF3QmrcGvMbbI97C/ccNT+8Qz4T+u4evKcA2yqoFVKhVkmk7x1o8WZ0QImWyTOAnl9aayPAo0zcG88YgODCU0Dthj+6HBIWZnzf9Dg9++gW43bO7kd3Lw/St4eEGIfe/9z1zm348cmXDM3c2PHJl4/r5W+xY+TvbV/7OtbM3sLNTxMdr3Fwc6BH7F6/FnP73wsIPO8Qzaegn7MN3I4ByzCen+od8FXyZu2fQf85XEEKkPQn8NBQbE0uoeSMQGhRu2jDcCft3o2HeUDx6LjD0qd1MAK7ZXPDM7UG2nO7YO9oTfi+CwCt3Hn3zcNEx1CWAl7hCdmLIVsAbjxN/4erhmukO9N65FsScT/7mp6WHyXZ/H/HKjTrdOjH6qwaZrlYhbJUEvsGi7j8wbwTCCA0KI+xuOKFB4YQGhRF+L5zQu+Hmx8IIuxdh+h0YTDxPD0k7O4V7djfcc7jjnt2NbObf7tndcPNwxT27G64errh5uOLq4YKbhysu7s64uLvg4u6Ms5szTs4OOLo44eTsgL2jA/YOdtg72D8WznFxccRGxxLzIJboqGjCg+8Tdjec8HvhBAbc5cb5m1w7f5PLJ64ScOYGAJ65PWjUuR7thr1JDu/s6f73FUL8KzWBb1mntHgmFzdnXIp4k7dI4pOvJUYXKUrUlQCu4c58KnEY84Fcpcjpk4Mi5QuSp5AXcXFxRITcJyL4Pjcv3iYi5D73Q+8TERpJfFx8Oq3RvxydHPApnpdCZQvw6juNqNywIsUrFZE9eiGskOzhG+WJQe3XcGe2XVUO6jw4OjsS8yAGpRR+9cvTuEsD6rSq+dhJXFprHkRGExkWyf2wSCLDoogMjyIqIoqoiAdER8UQ8yCG6KgYoqOiiYuNJzYmlriYuMfKUErh6OyAo7Mjjs6OZMvhhkcu0/GHXD45yF0glxyIFSITkS4da5XIaauHfSoxu+83XD19nSIVChIZ/oDblwNx83CldosavPR2HSo3rCghLEQWJYFvY6IfxLDq8w2s+nwD8fHxNOpcn9iYWH7/3wEiQu6TO39OGnaoS2P/+hQpV9DocoUQGUgC30bdvhLI3A8Ws2f9fko8V5T3pvsTHBjK1iU7OfDTX8THxVPxxbI06lyfeq1ryrBIIbIACXwbt3v9fr4c8C13rt2labeX6D21M9FRMWxdspOfv/2Nq6ev4+jsyItv1eDVHi9TqV55OagqhI2SwM8CIsMjWTZuLWun/UDuArkYOK8XNV6pjNaaMwfPs2XxDn77bg/hwRHkL5GXpt0a0ti/fpacplkIWyaBn4WcOnCWyV3ncOXkNeq0qkn/OT0ejYV/EPmAPesPsPmbbRzb+Q929na88EZVXn2nEdWa+MlevxA2QAI/i4mJjmH15I0sH78Wj1zZGLywD9WbPPdYm4CzN/jpm1/ZsngHwbdDyFc8L2+824Qm/vXxzC0XJxHCWkngZ1Hnj17isw4zuPxPAE27NqDX1C5ky/H4gduY6Bj2bviT7+f8zPHdJ3F0dqR+21q82e8VSlctYVDlQoiUksDPwqKjolk6dg2rp2zEp6g3o9YOpoRf0UTbXjx+mR/mbWXb0p1EhkdRvlYZWvR7hTota2LvIOP6hbAGEviCE3tPM77NVMLuhtNrShfeeLfxU+f7jwiJ4JdFO/h+9k9cP3+LPIW9eGvAazTt/hLunm4ZXLkQIjkk8AUA924FM7nrHP78+Qi1W9Rg2NL+z7ymblxcHPs3HWbttB84vuskbp6uvN6zES0GvIpXgdwZWLkQwlIS+OKR+Ph41k3fxPyhSylTvQRjNwy16JKDp/88x5qpG9m99g/s7O1o1Lk+7Ya9Sf4SPhlQtRDCUqkJ/CTH6SmlvlVK3VZK/f2U55VSaqZS6pxS6phSqkpKChFpw87OjtaD3mDM+iFc+vsq/WoO58KxRC5E+4Qy1Uvy8coPWHRmFq/0eJlty3bRtUx/Pus4g4t/X8mAyhO3fLnpSlt2dqbfy5cbVooQVi/JPXylVF0gHFiita6YyPOvAv2AV4HngRla6+eTemPZw09/Zw9fYGSzidwPjeTTzcOp+GI5i18bdOMe66b9wA/zthAV8YDaLWrQeXQbilcqko4VP+6JCUWBTH9RMCHSXbp36SiligI/PiXwvwJ2aK1XmO+fBuprrW88a5kS+BnjzrUghjQcy71bIUzZPoaSzxVL1utDg8L438zNrJ+xifuhkdRp+TwdR7bOkOD/7zV0TYoUgUuX0v3thciU0rVLxwIFgKsJ7geYH/sPpVRPpdRBpdTBwMDANHhrkRSvArn5fMtI3Dxc+ajpBK6de+Z2+D88c3vQZWxbll38ko4jW3Fo6zF6PTeYMS0nW9RVlBpXntKT9LTHhRDPlqHn2mutv9ZaV9NaV/P2tvzqUCJ18hT2ZuKWkcTHxfPx658Rdi882cvwyJntseA/uv0EvSsP4bOOM5K9EbFU4cLJe1wI8WxpEfjXgEIJ7hc0PyYykcJlCzB63WBuXrzNpC6zSenorIfBv+T8bNp++CZ7N/xJt3IDmeQ/m+vnb6ZpzRMmmPrsE3JzMz0uhEi+tAj8jUBn82idmkBIUv33whiV6pan+2cd+OPHQ/zx46FULcsjZza6f/o2i8/NokW/V9i1Zh/dyw/ky4ELCQ4MSZN6O3QwHaAtUgSUMv2WA7ZCpJwlo3RWAPUBL+AWMBpwBNBaz1Om0zlnA02B+0BXrXWSR2PloK0xYmNiecf3A5SdHfOPTU2zKRXuXL/LktGr+WXhbzi5OvFmv1dpPfgNPHPJRG1CpCU58Uoky57/7WdsyykM/24gDdrVTtNlXz4ZwLJxa9i5eh/ZcrjRcWRrXu/dCCcXpzR9HyGyKqNH6YhMJqmTlWo1r45XgVxsX7knzd+7SLmCjFjxPvP+mkypaiWY+8Ei/Mv05+dvfyMuNi7N308IYTkJfBvz8GSly5dBa9Pvnj0fD307OzvqtanFnz/9RWR4ZLrUUbxSET7/ZSSfbx1FLp8cTO0xl17PDeaPHw+l+ICxECJ1JPBtzIgRj5+ZCqb7I0Y8/liFWmWIjYnj2tm0HVnzpCoNfZn1x2eMWjuY2Jg4RjabyKAGo/nnjzPp+r5CiP+SwLcxlp6slL+kaVK0a+fSN/ABlFLUeet5vvl7Gv3n9CDg9HUG1BrBmLcmcfW0jOAVIqNI4NsYS09Wcs3mAkB0ZHQ6V/QvB0cH3ni3CYvPzqLL2Lb89evf9Kj4ATPfm8+9W8EZVocQWZUEvo2x9GSlB+agd3LN+NEzrtlc6TiyFYvOzuL1Xo3YNH8bnUv2ZdHIldwPS59jCkIICXybY+nJSndv3AMgu5dx4+Rz5slOv9k9WHBiOjVfr8ryCevwL92PzfO3yYgeIdKBBL4N6tDBNJtkfLzpd2Jnpl44ZurUL1qx0H+fzGAFS+dnxIr3mbnvU/KV8GF6r694p9Igdq/fLyN6hEhDEvhZ1KkDZ/EqkIsc3tmNLuWRcs+X4ovd4xm9bjB2dopxraYwqMFozhw6b3RpQtgECfwsKDYmlkNbjlKtsZ/RpfyHUooXWzzPV0enMGBuT678E0Cf6sP4pN00As7KFE1CpIYEfhZ0bNdJIkLuU+PVzHs1Snt7e17v1YjFZ2fRYURL9v94mHcqvs9Xg5ekaHpnIYQEfpa0bdlO3DxdqfFqZaNLSZJ7dnf8x7dj8blZvNyxLuum/0iXkn1ZM2Uj0VEZN6RUCFsggZ/F3A+LZM+6/dRt9QLOrs5Gl2OxXD45GbTgPeYenkTZ50vx9dCldC8/kJ2r98qBXSEsJIGfxWxbuovI8Chefedlo0tJkRJ+Rfl08wg+3zoKVw9XPmk3nf61RvD3npNGlyZEpieBn4XExcWxYfZPlKpanLI1ShpdTqpUaejL3MOTGLTgPQKv3uH9uqMY89YkObArxDNI4Gchv323h6unrtF26JuYrltj3ezt7WnatQGLzszCf1w7Dm87To8K7zNnwLeEBoUZXZ4QmY5cACWLiI2JpVu5gbhnd2POnxOxs7O9bf3dm/dYMmYNP32zDVcPV9oOfZO3Br5qVccqhEiKXABFJGnz/F+5ceEW/uPb2WTYg+nA7sB5Pfnq6FR865Tj2xHf0a3cQH5bsUcO7AqBBH6WEBkeydJxa6hUrzw1Xsn8QzFTq2iFQozfOIxJ20bhkSsbn3WYQd/nP+LI9r+NLk0IQ0ngZwFrp/5I8O0Qun/WwSb67i1V+SVf5vw5kcHfvse9W8EMaTiWMW9N4to5ObArsiYJfBt39+Y9Vk/5njqtalK+Zmmjy8lw9vb2NPFvwMJTM+g24e1/D+z2/5bgwBCjyxMiQ0ng27i57y8iLiaObhPeNroUQzm7OtP+oxYsOjOTJl1fYuPcX+hSqh9rpv5A9IMYo8sTIkNI4NuwP3/+ix2r9vL2iJYULJXP6HIyhYcHducfn0bFF8vy9ZAldC83gN9W7CE+Pt7o8oRIVzIs00ZF3X/AO74f4OjkwLwjU3BydjS6pEzp4JajzP9wKReOXqZM9RK890VXyr9QxuiyhHgqGZYp/mPFp+u5efE2A+b2lLB/hmqN/Zh7aBJDFvYhMOAuA2p/zLg2U+XArrBJEvg26Orpa6ye/D2NOtfDr34Fo8vJ9Ozs7GjcpT6LTs+g06jW/Ln5L3pUeJ95HyySqZiFTZHAtzHx8fFM7/UVzm7OvDOpk9HlWBXXbK50HtOGRWdn8XKneqyfsZkupfqxfsYmYqLlwK6wfhL4Nmb9F5s4vusk7073J2eezHP5QmuSO19OBn3zLnMPT6JUlWLMfX8RPSp+wJ7/yTV2hXWTwLchAWeus/DjFdR8oyqNu9Q3uhyrV8KvKBN/GcmETcNxdHJgbMspDKo/mtMH5Rq7wjpJ4NuI+Ph4pnT/EicXJwbO65WlzqhNT0oparxSma+OmK6xe/X0dfrWGMbETjO5eem20eUJkSwS+DZi45e/cOL307z3RVdy58tpdDk2x97BdI3dRWdm0v6jFuxe9wfdyg1kwUfLiQi9b3R5QlhEAt8GXDt3g2+Hf0e1Jn683Kmu0eXYNHdPN7pNeJuFp2dSt3VNVn6+Af/S/dn45S/ExsQaXZ4QzySBb+XiYuOY2HEmDo72vP91b+nKySB5CnkxbEl/Zu//jEJl8jOr7zf09BvM/s2H5cCuyLQk8K3cd5+u59SBcwyY14s8hbyMLifLKVO9JFN3jGXshqHEx8Xz8eufMazpJ5w7ctHo0oT4D4sCXynVVCl1Wil1Tik1LJHn/ZVSgUqpI+afHmlfqnjS6YPnWTZ+LQ071KFe6xeMLifLUkpRq1l15h+fyrvT/Dl76ALvVf2QKd2+JOjGPaPLE+KRJOfSUUrZA2eARkAA8CfQXmv9T4I2/kA1rXVfS99Y5tJJnegHMbxXdSjhwRHMPz4Nj5zZjC5JmIXdC+e7CevZMGszDk4OtBnSnFaD3sDV3cXo0oQNSO+5dGoA57TWF7TW0cBKoHlK3kyknQXDlnP5nwA+mP+uhH0m45EzG72mdOabE9Op3vQ5loxZjX/p/vyyaLvMyCkMZUngFwCuJrgfYH7sSS2VUseUUmuVUoUSW5BSqqdS6qBS6mBgYGAKyhUAB376i/UzNtG8T9MscclCa1WgZD5GrRnMF3s+IU+h3Ezp9iV9qg+TSy0Kw6TVQdsfgKJa60rAVmBxYo201l9rratprat5e3un0VtnLfduBTO56xyK+Ram52SZK8caVKhVhhl7JzBsaX9Cg8IY0nAsI5tN5Orpa0aXJrIYSwL/GpBwj72g+bFHtNZBWusH5rvfAFXTpjyRkNaaaT3nERFyn+HfDcTJxcnokoSF7OzsaNihDgtPzaD7Zx04tusf3vEdxOx+Cwi5E2p0eSKLsCTw/wRKKaWKKaWcgHbAxoQNlFIJL6fUDDiZdiWKh3765lf++OEQPSZ2oGiFRHvNRCbn5OJEuw/fZNGZWbzS/SV+MF9qcfXk7+VSiyLdJRn4WutYoC/wC6YgX621PqGUGqeUamZu1l8pdUIpdRToD/inV8FZ1eWTAXw5cCGVG/ryZr9XjC5HpFLOPNkZMLcnXx+bSoXaZZj/4TK6lx/IztV75cQtkW7kEodW4EHkA/rVHM69m8HMOzJF5sqxQYe2HuWrwUu4ePwK5V8oTa8pneVSiyJRcolDG/f1kKVcPH6FoYv7StjbqKqN/Jh7eBLvf92bGxduMaD2x0xoP11m5BRpSgI/k/vjx0Ns/PIXWr7/OtWbyhBMW2Zvb8+rPRqy+OwsOo5sxb6NB+lWbiDfDFtGREiE0eUJGyBdOpnY3Zv36OU3mFz5cjJr/2dyMfIsJjAgiG9HfMe2pbvwzO1Bl7Ftea3ny9g72BtdmjCQdOnYoLi4OD7rOJPI8Cg+Wj5Awj4L8i6Ymw8X92PuoUkU8y3MrL7f0Ou5wezfdEgO7IoUkcDPpL6bsJ4jv/1N39k9ZAhmFleycjEm/zqasf8bSmxMHB+/MZGhjcZx/uglo0sTVkYCPxP6e89Jlo1bQ8OOdWjiX9/ockQmoJSiVvPqfPP3NPrM7MaFo5d5t8pQpvaYKzNyCotJH34mE3YvnF7PDcbRyYG5hyfj5uFqdEkiEwq7F87y8Wv5fs7PODiaZuRsPaQZLm7ORpcm0pn04dsIrTXTe33F3RvBDP9uoIS9eCqPnNnoPc2fBf98QY3XqrBk7Gq6lR3A1iU7ZUZO8VQS+JnIhlk/sXvtH3Sb0J4y1UsaXY6wAvlL+DBy1QdM2zmOXPlyMMl/Nn2qD+PojhNGlyYyIQn8TOLMofN8PWQJNd+oSuvBzZJ+gRAJ+NYpx8x9n/LR8gGE3Q1n8EtjGPPWJALOXDe6NJGJSB9+JhARep/3qg4lJjqWeX9NxjOXh9ElCSv2IPIBa6f9yKrPNxAdFcMb7zam06jWeOaWf1e2QPrwrdzsfgu4efE2Hy0bIGEvUs3Z1ZkOI1qy6MxMmnZtwMY5P9OlVD/WTf+RmGiZkTMrk8A32E8LfmXb0l10+LgVvnXKGV2OsCG5fHIy8KtezDsyhXI1SzFv0GJ6VHif3ev3y4lbWZQEvoEuHLvM7H4LqPKyLx1GtjS6HGGjilUszKebR/Dp5uE4uTgxrtUUPqg3itN/njO6NJHBJPANEhkeySdtp5EtZzaGLRuAvb3MjyLSV/WmlZn312QGzutJwJkb9H3+IyZ2nsntq3eMLk1kEAl8g8zqt4BrZ28wfPkAcubJbnQ5Iouwd7DntZ6NWHRmJu0/asGuNX/gX7o/C4Z/x/2wSKPLE+lMAt8AW5fuZOvinbw9oiV+9SsYXY7Igtw93eg24W0WnZ5B3VY1WTnxf/iX7sfmb34lLi7O6PJEOpHAz2AX/77CjN5fU6leeTqObGV0OSKLy1PYm2FL+zPrj0/JV8KH6T3n0fu5Ifz5yxGjSxPpQAI/A0WGRzK+zTTcPF0ZsWKgzGsuMo2yNUrxxe7xjFoziOioaIa/MoHhr33K5X+uGl2aSEMS+BloVt8FBJy+zkfLB5DLRy5VKDIXpRR1WtZk/t/T6Tm5M//sPU3PSoP4otdX3LsVbHR5Ig1I4GeQrUt2snXJTjqObEXll3yNLkeIp3JydqT1oDdYfHYWzfo05eeF2/Ev3Z+VE/9HdFS00eWJVJDAzwAXj19mxrtf41u3nIy3F1Yju5cnfWZ0Y/7xqVSqX54Fw7+ja9kB/Pbdbjlxy0pJ4Kez+2GRjGs9FffsboxY8b6MtxdWp1CZAoz/fhiTto3CM7cHn3WcSf9aIzix97TRpYlkksBPR1prvuj9FdfP3WT4ioHkzif99sJ6VX7Jlzl/TmTwt+9x+8odBr74MePbTuPGhVtGlyYsJIGfjn5a8BvbV/xO57Ft8asn4+2F9bOzs6OJfwMWnZlJ59FtOLDpMN3LD+TrIUsID44wujyRBAn8dHLh2GW+HPAtVV72pf1HLYwuR4g05eruQqfRrVl4Zib129dm7bQf6VKqH9/P+ZnYmFijyxNPIYGfDiJCIhjbagrZcrozbGl/7Ozkzyxsk1f+XAxd2Jc5f06kmG9hZvdbQE+/wezfdEgO7GZCkkRpTGvN1B5zuXnxNh+v+oCceXMYXZIQ6a5UleJM/nU0YzcMRcfH8/EbExnWZDwXjl02ujSRgAR+Gtsw6yd2r9tPj886ULF2WaPLESLDKKWo1aw6849Po8+Mbpw9fJHelYcwtfuXBN24Z3R5Agn8NJXwurStBr1hdDlCGMLB0YE3+73C4rOzaPn+62xbtgv/0v1YNn4tUfcfGF1elibXtE0joXfD6FPtQ+Li4pl3eLJcP1QIs+vnb/LNsGXsXrcfrwK58B/fjkad68mxrRSSa9oaLD4+nkldZnPn2l1GrRkkYS9EAvlL+DBqzWCm7RxH7vw5mdLtS/rWGMbRnSeMLi3LkcBPA6snfc/+TYfpPc2fsjVKGV2OEJmSb51yzNz3KcOW9if4diiDG4xhzFuTCDhz3ejSsgwJ/FQ6vvskCz9eQb02L9DsvSZGlyNEpmZnZ0fDDnX49tQMun7SnsPbjtOj4gfMfX8RoXfDjC7P5kkffircuxXMe9U+xMnViS8Pfo67p5vRJQlhVe7dCmbRyJX8tOA3suVwo8PHrWjWpwmOTo5Gl5ZppXsfvlKqqVLqtFLqnFJqWCLPOyulVpmf36+UKpqSYqxJXGwcn779BaFBYYxc/YGEvRApkDNvDt7/ujfz/ppM6eolmTdoMT0qfsDvGw7IiVvpIMnAV0rZA3OAV4DyQHulVPknmnUH7mmtSwLTgc/TutDMZvHoVRzZfoL+X75DyeeKGV2OEFateKUiTPz5Yz7dPBwHR3vGvDWZwS+N4cyh80aXZlMs2cOvAZzTWl/QWkcDK4HmT7RpDiw2314LNFRKqbQrM3OJfhDDgZ/+omnXBjTxb2B0OULYjOpNK/P10an0n9ODK/8EML7NNOJi5aLqaSXJPnylVCugqda6h/l+J+B5rXXfBG3+NrcJMN8/b25z54ll9QR6mu9WBP5OqxXJhLyAO0m2sl6yftbLltcNbH/9ymitUzT22yGtK3kWrfXXwNcASqmDKT3wYA1k/aybLa+fLa8bZI31S+lrLenSuQYUSnC/oPmxRNsopRyA7EBQSosSQgiR9iwJ/D+BUkqpYkopJ6AdsPGJNhuBLubbrYDftBxiF0KITCXJLh2tdaxSqi/wC2APfKu1PqGUGgcc1FpvBBYAS5VS54C7mDYKSfk6FXVbA1k/62bL62fL6wayfk9l2IlXQgghMpZMrSCEEFmEBL4QQmQR6R74tj4tgwXr56+UClRKHTH/9DCizpRQSn2rlLptPs8iseeVUmqmed2PKaWqZHSNqWHB+tVXSoUk+OxGZXSNKaWUKqSU2q6U+kcpdUIpNSCRNlb7+Vm4ftb8+bkopQ4opY6a129sIm2Sn51a63T7wXSQ9zxQHHACjgLln2jzHjDPfLsdsCo9azJg/fyB2UbXmsL1qwtUAf5+yvOvAj8BCqgJ7De65jRev/rAj0bXmcJ1ywdUMd/2AM4k8m/Taj8/C9fPmj8/BWQz33YE9gM1n2iT7OxM7z18W5+WwZL1s1pa612YRl09TXNgiTb5A8ihlMqXMdWlngXrZ7W01je01ofNt8OAk0CBJ5pZ7edn4fpZLfNnEm6+62j+eXKETbKzM70DvwBwNcH9AP77oTxqo7WOBUKA3OlcV1qxZP0AWpq/Mq9VShVK5HlrZen6W7MXzF+rf1JKVTC6mJQwf9WvjGkvMSGb+PyesX5gxZ+fUspeKXUEuA1s1Vo/9fOzNDvloG36+wEoqrWuBGzl3y2yyPwOA0W01n7ALGCDseUkn1IqG7AOGKi1DjW6nrSWxPpZ9eentY7TWj+HaXaDGkqpiqldZnoHvq1Py5Dk+mmtg7TWD8x3vwGqZlBtGcGSz9dqaa1DH36t1lpvBhyVUl4Gl2UxpZQjpjBcrrVen0gTq/78klo/a//8HtJaBwPbgaZPPJXs7EzvwLf1aRmSXL8n+kSbYeprtBUbgc7m0R41gRCt9Q2ji0orSimfh32iSqkamP6/WMXOiLnuBcBJrfW0pzSz2s/PkvWz8s/PWymVw3zbFWgEnHqiWbKzM11ny9TpNy1DpmDh+vVXSjUDYjGtn79hBSeTUmoFppEOXkqpAGA0poNHaK3nAZsxjfQ4B9wHuhpTacpYsH6tgHeVUrFAJNDOinZGagOdgOPmfmCA4UBhsInPz5L1s+bPLx+wWJkuQGUHrNZa/5ja7JSpFYQQIouQg7ZCCJFFSOALIUQWIYEvhBBZhAS+EEJkERL4QgiRRUjgCyFEFiGBL4QQWcT/AaxtOLcLFYPMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx = np.linspace(0, room_dim[0], 100)\n",
    "yy = np.linspace(0, room_dim[1], 100)\n",
    "xx, yy = np.meshgrid(xx, yy)\n",
    "\n",
    "def plot_hyperbolas(tdoas, name, estimate=None):\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot()\n",
    "    for i, pairs in enumerate([[0, 1], [0, 2], [1, 2]]):\n",
    "\n",
    "        plt.contour(xx, yy, (np.sqrt((xx-mic_locs[0, pairs[0]])**2 + (yy-mic_locs[1, pairs[0]])**2) \n",
    "             - np.sqrt((xx-mic_locs[0, pairs[1]])**2 + (yy-mic_locs[1, pairs[1]])**2) \n",
    "             - tdoas[i] / fs * room.c), [0])\n",
    "\n",
    "    ax.scatter(mic_locs[0], mic_locs[1], c='b', label='microphones')\n",
    "    ax.scatter(source_loc[0], source_loc[1], c='r', label='sound source')\n",
    "    if estimate is not None:\n",
    "        ax.scatter(estimate[0], estimate[1], c='g', label='estimate', marker='*', s=200)\n",
    "    ax.set_xlim([0, room_dim[0]])\n",
    "    ax.set_ylim([0, room_dim[1]])\n",
    "    plt.title('From above')\n",
    "    plt.legend()\n",
    "    plt.title(name)\n",
    "    plt.show()\n",
    "    \n",
    "plot_hyperbolas(delays, 'Ground truth')\n",
    "plot_hyperbolas(gcc_delays, 'GCC-PHAT', xhat_gcc)\n",
    "plot_hyperbolas(ngcc_delays, 'NGCC-PHAT', xhat_ngcc)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
